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Finding the Third Proportional to 29,711 and 61,524

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Solution

The third proportional to 29,711 and 61,524 is: 127,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711 : 61,524 = 61,524 : x
  2. Step 2: Convert to fraction form
    29,711/61,524 = 61,524/x
  3. Step 3: Cross multiply
    29,711x = 61,524 × 61,524
  4. Step 4: Simplify right side
    29,711x = 3,785,202,576
  5. Step 5: Solve for x
    x = 3,785,202,576/29,711
  6. Step 6: Final answer
    x = 127,400.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.