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Finding the Third Proportional to 6,502.78 and 12,132.28

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Solution

The third proportional to 6,502.78 and 12,132.28 is: 22,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 12,132.28 = 12,132.28 : x
  2. Step 2: Convert to fraction form
    6,502.78/12,132.28 = 12,132.28/x
  3. Step 3: Cross multiply
    6,502.78x = 12,132.28 × 12,132.28
  4. Step 4: Simplify right side
    6,502.78x = 147,192,248.33
  5. Step 5: Solve for x
    x = 147,192,248.33/6,502.78
  6. Step 6: Final answer
    x = 22,635.28

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.