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Finding the Third Proportional to 37,952 and 60,432

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Solution

The third proportional to 37,952 and 60,432 is: 96,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,952 : 60,432 = 60,432 : x
  2. Step 2: Convert to fraction form
    37,952/60,432 = 60,432/x
  3. Step 3: Cross multiply
    37,952x = 60,432 × 60,432
  4. Step 4: Simplify right side
    37,952x = 3,652,026,624
  5. Step 5: Solve for x
    x = 3,652,026,624/37,952
  6. Step 6: Final answer
    x = 96,227.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.