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Finding the Third Proportional to 39,404 and 60,564

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Solution

The third proportional to 39,404 and 60,564 is: 93,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,404 : 60,564 = 60,564 : x
  2. Step 2: Convert to fraction form
    39,404/60,564 = 60,564/x
  3. Step 3: Cross multiply
    39,404x = 60,564 × 60,564
  4. Step 4: Simplify right side
    39,404x = 3,667,998,096
  5. Step 5: Solve for x
    x = 3,667,998,096/39,404
  6. Step 6: Final answer
    x = 93,086.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.