Finding the Third Proportional to 37,731 and 51,060
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Solution
The third proportional to 37,731 and 51,060 is: 69,097.65
Step by Step Solution
- Step 1: Write the proportion equation
37,731 : 51,060 = 51,060 : x - Step 2: Convert to fraction form
37,731/51,060 = 51,060/x - Step 3: Cross multiply
37,731x = 51,060 × 51,060 - Step 4: Simplify right side
37,731x = 2,607,123,600 - Step 5: Solve for x
x = 2,607,123,600/37,731 - Step 6: Final answer
x = 69,097.65
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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.