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Finding the Third Proportional to 6,327.28 and 9,438.61

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Solution

The third proportional to 6,327.28 and 9,438.61 is: 14,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.28 : 9,438.61 = 9,438.61 : x
  2. Step 2: Convert to fraction form
    6,327.28/9,438.61 = 9,438.61/x
  3. Step 3: Cross multiply
    6,327.28x = 9,438.61 × 9,438.61
  4. Step 4: Simplify right side
    6,327.28x = 89,087,346.93
  5. Step 5: Solve for x
    x = 89,087,346.93/6,327.28
  6. Step 6: Final answer
    x = 14,079.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.