On and after the effective date of a consolidation, the consolidated district succeeds to all of the powers, rights, duties, obligations, functions, and properties of all predecessor districts which have been united or joined into the consolidated district. The territory of a consolidated district, all inhabitants within that territory, and all persons entitled to vote by reason of residing or owning land within the territory are subject to the jurisdiction of the consolidated district and, except as otherwise provided in this chapter, have the same rights and duties as if the consolidated district had been originally formed under the principal act.