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Finding the Third Proportional to 6,331.92 and 9,818.09

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Solution

The third proportional to 6,331.92 and 9,818.09 is: 15,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.92 : 9,818.09 = 9,818.09 : x
  2. Step 2: Convert to fraction form
    6,331.92/9,818.09 = 9,818.09/x
  3. Step 3: Cross multiply
    6,331.92x = 9,818.09 × 9,818.09
  4. Step 4: Simplify right side
    6,331.92x = 96,394,811.48
  5. Step 5: Solve for x
    x = 96,394,811.48/6,331.92
  6. Step 6: Final answer
    x = 15,223.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.