from typing import Tuple


def _compute_reduced_dimensions(x: int, y: int, target_h: int=2000) -> Tuple[int, int]:
    """
    Compute new dimensions with height set to `target_h`.

    :param x: height
    :param y: width
    :param target_h: target height
    :return: tuple
    """
    ratio = y / x
    target_w = int(target_h * ratio)
    return target_h, target_w