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Finding the Third Proportional to 27,330 and 39,499

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Solution

The third proportional to 27,330 and 39,499 is: 57,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,330 : 39,499 = 39,499 : x
  2. Step 2: Convert to fraction form
    27,330/39,499 = 39,499/x
  3. Step 3: Cross multiply
    27,330x = 39,499 × 39,499
  4. Step 4: Simplify right side
    27,330x = 1,560,171,001
  5. Step 5: Solve for x
    x = 1,560,171,001/27,330
  6. Step 6: Final answer
    x = 57,086.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.