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Finding the Third Proportional to 6,654.38 and 10,240.31

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Solution

The third proportional to 6,654.38 and 10,240.31 is: 15,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.38 : 10,240.31 = 10,240.31 : x
  2. Step 2: Convert to fraction form
    6,654.38/10,240.31 = 10,240.31/x
  3. Step 3: Cross multiply
    6,654.38x = 10,240.31 × 10,240.31
  4. Step 4: Simplify right side
    6,654.38x = 104,864,000.10
  5. Step 5: Solve for x
    x = 104,864,000.10/6,654.38
  6. Step 6: Final answer
    x = 15,758.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.