If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

This is a decimal-shift problem: when the dividend and divisor of a division are each rescaled by a power of ten, the quotient rescales by the ratio of those two powers of ten.

1. The given fact 2994 ÷ 14.5 = 172 is used as the reference computation for this decimal-shift technique — the task is to rescale it, not to independently re-verify it.

2. 29.94 is 2994 divided by 100 (the decimal point moved two places left).

3. 1.45 is 14.5 divided by 10 (the decimal point moved one place left).

4. So 29.94 ÷ 1.45 = (2994 ÷ 100) ÷ (14.5 ÷ 10) = (2994 ÷ 14.5) × (10 ÷ 100) = 172 × (1/10).

5. 172 × (1/10) = 17.2.

Cross-check: dividing the dividend by a larger power of ten than the divisor must shrink the quotient — dividing 2994 by 100 versus 14.5 by only 10 leaves one extra factor of ten unaccounted for in the dividend, so the quotient must shrink by that same extra factor of ten relative to 172, which is exactly what 17.2 reflects.

This matches the value 17.2.