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Answer:

3:2

Step-by-step explanation:

Triangles ABC and PMN are similar.  This is evident from the marks identifying equal angles.

The ratio of the two longest sides is 20:30, or 2:3.

The ratio of the two shortest sides is 12:18, or 2:3.

Finally, the ratio of the two sides of intermediate length is 16:24, or 2:3.

The scale factor of the alrger triangle to the smaller triangle is 3:2.