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Finding the Third Proportional to 6,456.38 and 14,374.13

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Solution

The third proportional to 6,456.38 and 14,374.13 is: 32,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.38 : 14,374.13 = 14,374.13 : x
  2. Step 2: Convert to fraction form
    6,456.38/14,374.13 = 14,374.13/x
  3. Step 3: Cross multiply
    6,456.38x = 14,374.13 × 14,374.13
  4. Step 4: Simplify right side
    6,456.38x = 206,615,469.52
  5. Step 5: Solve for x
    x = 206,615,469.52/6,456.38
  6. Step 6: Final answer
    x = 32,001.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.