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Finding the Third Proportional to 23,702 and 39,499

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Solution

The third proportional to 23,702 and 39,499 is: 65,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702 : 39,499 = 39,499 : x
  2. Step 2: Convert to fraction form
    23,702/39,499 = 39,499/x
  3. Step 3: Cross multiply
    23,702x = 39,499 × 39,499
  4. Step 4: Simplify right side
    23,702x = 1,560,171,001
  5. Step 5: Solve for x
    x = 1,560,171,001/23,702
  6. Step 6: Final answer
    x = 65,824.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.