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Finding the Third Proportional to 27,952 and 60,532

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Solution

The third proportional to 27,952 and 60,532 is: 131,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952 : 60,532 = 60,532 : x
  2. Step 2: Convert to fraction form
    27,952/60,532 = 60,532/x
  3. Step 3: Cross multiply
    27,952x = 60,532 × 60,532
  4. Step 4: Simplify right side
    27,952x = 3,664,123,024
  5. Step 5: Solve for x
    x = 3,664,123,024/27,952
  6. Step 6: Final answer
    x = 131,086.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.