To determine if either of the given ratios is a proportion, we can check if the cross products of the fractions are equal (i.e., if \(\frac{a}{b} = \frac{c}{d}\), then \(a \times d = b \times c\)).
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For \(2.510 = 1248\):
- Rewrite the equation: \( \frac{2.5}{10} = \frac{12}{48} \).
- Calculate the cross products:
- \( 2.5 \times 48 = 120 \)
- \( 10 \times 12 = 120 \)
Since both cross products are equal (120 = 120), this is a proportion.
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For \(2.52 = 1224\):
- Rewrite the equation: \( \frac{2.5}{2} = \frac{12}{24} \).
- Calculate the cross products:
- \( 2.5 \times 24 = 60 \)
- \( 2 \times 12 = 24 \)
Since the cross products are not equal (60 ≠ 24), this is not a proportion.
Therefore, the only proportion is the first one:
- 2.510 = 1248 is a proportion.
- 2.52 = 1224 is not a proportion.
Thus, the correct answer is: 2.510=1248 Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction
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