The Use of multimodal analgesia is a common practice in clinical settings, where a combination of drugs with different mechanisms of action is used to enhance the effectiveness of an analgesic and reduce its adverse effects. This study, which aimed to compare the efficacy of concurrent ibuprofen and paracetamol with alternate administration in the management of postoperative pain after the surgical removal of impacted mandibular third molars, has yielded significant findings with practical implications. A single-center, double-masked, parallel-group, randomized controlled clinical trial involved 56 patients undergoing scheduled surgical extraction of impacted mandibular third molars. Patients were randomly assigned to either Group A (Control), where they were instructed to take one tablet of ibuprofen 400 mg and two tablets of paracetamol 500 mg together every 8 hours for 48 hours, or Group B (Study), where they were instructed to take one tablet of ibuprofen 400 mg and two tablets of paracetamol 500 mg alternatively every 4 hours for 48 hours. The primary outcome measure was the intensity of postoperative pain, which was evaluated using a Visual Analogue Scale (VAS) ranging from 0 to 10. The secondary outcome measure was the timing of the onset of the analgesic effect, the duration of pain relief, the frequency of rescue drug administration, and the time interval between taking the recommended medication and the need for rescue medication. Investigators involved in analyzing the patients' responses were blinded to the pain control regime used by the participants. Pain intensity during the first 48 hours after the extractions showed that most participants experienced "some pain," including 50% in Group A and 35.7% in Group B. The percentage of patients reporting "no pain" was higher in group B than in group A, although the difference was not statistically significant (p = 0.495). More than half of the participants (53%) in group A reported needing an extra dose in the 48-hour follow-up period, while 85% in group B reported pain relief (p = 0.002). When correlating the mean pain score to the complexity level, in patients with moderate complexity of extraction, higher pain scores were recorded in group B. The study concludes that administering analgesics alternatively results in more effective pain relief for patients undergoing surgical extractions of the lower third molar, a finding that has practical implications for the management of postoperative pain in oral and maxillofacial surgery. The surgical extraction of the impacted mandibular third molar is the most common procedure in oral and maxillofacial surgery. However, it is often associated with postoperative complications. The most frequent complication following the surgical intervention is pain.