Finding the Third Proportional to 34,082 and 51,737
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Solution
The third proportional to 34,082 and 51,737 is: 78,537.56
Step by Step Solution
- Step 1: Write the proportion equation
34,082 : 51,737 = 51,737 : x - Step 2: Convert to fraction form
34,082/51,737 = 51,737/x - Step 3: Cross multiply
34,082x = 51,737 × 51,737 - Step 4: Simplify right side
34,082x = 2,676,717,169 - Step 5: Solve for x
x = 2,676,717,169/34,082 - Step 6: Final answer
x = 78,537.56
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.