If a proposed watershed improvement district will be situated in more than one soil conservation district, copies of the petition shall be presented to the supervisors of all the soil conservation districts in which any part of such proposed watershed improvement district will be situated, and the supervisors of all such soil conservation districts affected shall act jointly as a board of supervisors with respect to all matters concerning such watershed improvement district, including its organization. Such watershed improvement district shall be organized in like manner and shall have the same powers and duties as a watershed improvement district situated entirely in one soil conservation district.