(usually with to) Obligated, especially financially.
Origin of indebted
Middle English endettedfrom Old French endettepast participle ofendetterto obligeen-causative pref.en–1dettedebtdebt
American Heritage Dictionary of the English Language, 5th Edition
Indebted Sentence Examples
However much Walton was indebted to his helpers.
To all of these I am most deeply indebted.
For maps of the Balkan Peninsula we are still largely indebted to the rapid surveys carried on by Austrian and Russian officers.
The three histories together became known in the West from the 6th century through the selection which Cassiodorus caused to be made from them, and it is to this selection (if we leave Rufinus and Jerome out of account) that the middle ages were mainly indebted for all they knew of the Arian controversies, and of the period generally between the Councils of Nice and Ephesus.
Jerome does not mention the Itala, but it is plain that he was indebted to it.