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Finding the Third Proportional to 38,539 and 61,041

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Solution

The third proportional to 38,539 and 61,041 is: 96,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539 : 61,041 = 61,041 : x
  2. Step 2: Convert to fraction form
    38,539/61,041 = 61,041/x
  3. Step 3: Cross multiply
    38,539x = 61,041 × 61,041
  4. Step 4: Simplify right side
    38,539x = 3,726,003,681
  5. Step 5: Solve for x
    x = 3,726,003,681/38,539
  6. Step 6: Final answer
    x = 96,681.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.