Finding the Third Proportional to 971 and 1,632
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Solution
The third proportional to 971 and 1,632 is: 2,742.97
Step by Step Solution
- Step 1: Write the proportion equation
971 : 1,632 = 1,632 : x - Step 2: Convert to fraction form
971/1,632 = 1,632/x - Step 3: Cross multiply
971x = 1,632 × 1,632 - Step 4: Simplify right side
971x = 2,663,424 - Step 5: Solve for x
x = 2,663,424/971 - Step 6: Final answer
x = 2,742.97
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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.