Final answer:
The Human Resources manager would take care of the problem of one project team member filing a sexual harassment suit against another team member of equal rank.
Step-by-step explanation:
The manager who would take care of the problem of one project team member filing a sexual harassment suit against another team member of equal rank would typically be the Human Resources manager. The HR manager is responsible for handling employee relations issues, including allegations of harassment. They would investigate the complaint, ensure a fair and impartial investigation, and take appropriate actions to address the issue. In this case, it may also be necessary for the project manager to collaborate with the HR manager, as they may need to reallocate resources or reassign team members to resolve the conflict.