This book constitutes the refereed proceedings of the Third International Workshop on Applications of Medical Artificial Intelligence, AMAI 2024, held in conjunction with MICCAI 2024, in Marrakesh, Morocco on October 6th, 2024. The volume includes 24 papers which were carefully reviewed and selected from 59 submissions. The AMAI 2024 workshop created a forum to bring together researchers, clinicians, domain experts, AI practitioners, industry representatives, and students to investigate and discuss various challenges and opportunities related to applications of medical AI.