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Finding the Third Proportional to 6,654.38 and 15,402.38

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Solution

The third proportional to 6,654.38 and 15,402.38 is: 35,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.38 : 15,402.38 = 15,402.38 : x
  2. Step 2: Convert to fraction form
    6,654.38/15,402.38 = 15,402.38/x
  3. Step 3: Cross multiply
    6,654.38x = 15,402.38 × 15,402.38
  4. Step 4: Simplify right side
    6,654.38x = 237,233,155.64
  5. Step 5: Solve for x
    x = 237,233,155.64/6,654.38
  6. Step 6: Final answer
    x = 35,650.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.