This book constitutes the refereed proceedings of the Third International Workshop on Hybrid Models for Coupling Deductive and Inductive Reasoning, HYDRA 2024, held in Santiago de Compostela, Spain, on October 20, 2024. The 6 full papers and 1 invited talk included in this book were carefully reviewed and selected from 7 submissions.The International Workshop on Hybrid Models for Coupling Deductive and Inductive Reasoning (HYDRA) was designed as a forum for researchers to explore the exciting possibilities at the intersection of deductive and inductive reasoning.