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Finding the Third Proportional to 6,251.06 and 9,691.31

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Solution

The third proportional to 6,251.06 and 9,691.31 is: 15,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.06 : 9,691.31 = 9,691.31 : x
  2. Step 2: Convert to fraction form
    6,251.06/9,691.31 = 9,691.31/x
  3. Step 3: Cross multiply
    6,251.06x = 9,691.31 × 9,691.31
  4. Step 4: Simplify right side
    6,251.06x = 93,921,537.97
  5. Step 5: Solve for x
    x = 93,921,537.97/6,251.06
  6. Step 6: Final answer
    x = 15,024.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.