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Answer 
ABC is a triangle, AD is median. O is a point on AD. Produced AD to X, OD = DX given.
BD = CD, join BX and CX. Thus diagonals of quadrilateral OBXC bisect each other.
So OBXC is a parallelogram. So BX parallel to CF. So BX parallel to OF.
Now in triangle ABX, AO/AX = AF/AB
=AO:AX = AF:AB Proved!
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