Construct a Point of Division

A point that divides a line segment in a given ratio is called the [b][color=#0000ff]point of division[/color][/b].[br][br]Given a line segment AB.  Construct the point of division C such that [math]AC:CB=3:2[/math].[br][br][b]Note[/b]: Use similar triangles as shown in the figure below. The parallel line tool [icon]/images/ggb/toolbar/mode_parallel.png[/icon] is given to simplify the construction.

Information: Construct a Point of Division