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Finding the Third Proportional to 7,847.38 and 11,635.31

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Solution

The third proportional to 7,847.38 and 11,635.31 is: 17,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.38 : 11,635.31 = 11,635.31 : x
  2. Step 2: Convert to fraction form
    7,847.38/11,635.31 = 11,635.31/x
  3. Step 3: Cross multiply
    7,847.38x = 11,635.31 × 11,635.31
  4. Step 4: Simplify right side
    7,847.38x = 135,380,496.97
  5. Step 5: Solve for x
    x = 135,380,496.97/7,847.38
  6. Step 6: Final answer
    x = 17,251.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.