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Finding the Third Proportional to 39,539 and 61,577

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Solution

The third proportional to 39,539 and 61,577 is: 95,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,539 : 61,577 = 61,577 : x
  2. Step 2: Convert to fraction form
    39,539/61,577 = 61,577/x
  3. Step 3: Cross multiply
    39,539x = 61,577 × 61,577
  4. Step 4: Simplify right side
    39,539x = 3,791,726,929
  5. Step 5: Solve for x
    x = 3,791,726,929/39,539
  6. Step 6: Final answer
    x = 95,898.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.