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Finding the Third Proportional to 6,331.61 and 8,241.43

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Solution

The third proportional to 6,331.61 and 8,241.43 is: 10,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.61 : 8,241.43 = 8,241.43 : x
  2. Step 2: Convert to fraction form
    6,331.61/8,241.43 = 8,241.43/x
  3. Step 3: Cross multiply
    6,331.61x = 8,241.43 × 8,241.43
  4. Step 4: Simplify right side
    6,331.61x = 67,921,227.68
  5. Step 5: Solve for x
    x = 67,921,227.68/6,331.61
  6. Step 6: Final answer
    x = 10,727.33

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.