Finding the Third Proportional to 57,540 and 77,741
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Solution
The third proportional to 57,540 and 77,741 is: 105,034.12
Step by Step Solution
- Step 1: Write the proportion equation
57,540 : 77,741 = 77,741 : x - Step 2: Convert to fraction form
57,540/77,741 = 77,741/x - Step 3: Cross multiply
57,540x = 77,741 × 77,741 - Step 4: Simplify right side
57,540x = 6,043,663,081 - Step 5: Solve for x
x = 6,043,663,081/57,540 - Step 6: Final answer
x = 105,034.12
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.