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Finding the Third Proportional to 42,727 and 63,741

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Solution

The third proportional to 42,727 and 63,741 is: 95,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,727 : 63,741 = 63,741 : x
  2. Step 2: Convert to fraction form
    42,727/63,741 = 63,741/x
  3. Step 3: Cross multiply
    42,727x = 63,741 × 63,741
  4. Step 4: Simplify right side
    42,727x = 4,062,915,081
  5. Step 5: Solve for x
    x = 4,062,915,081/42,727
  6. Step 6: Final answer
    x = 95,090.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.