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Finding the Third Proportional to 39,702 and 60,282

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Solution

The third proportional to 39,702 and 60,282 is: 91,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702 : 60,282 = 60,282 : x
  2. Step 2: Convert to fraction form
    39,702/60,282 = 60,282/x
  3. Step 3: Cross multiply
    39,702x = 60,282 × 60,282
  4. Step 4: Simplify right side
    39,702x = 3,633,919,524
  5. Step 5: Solve for x
    x = 3,633,919,524/39,702
  6. Step 6: Final answer
    x = 91,529.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.