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Finding the Third Proportional to 3,847.20 and 8,269.07

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Solution

The third proportional to 3,847.20 and 8,269.07 is: 17,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.20 : 8,269.07 = 8,269.07 : x
  2. Step 2: Convert to fraction form
    3,847.20/8,269.07 = 8,269.07/x
  3. Step 3: Cross multiply
    3,847.20x = 8,269.07 × 8,269.07
  4. Step 4: Simplify right side
    3,847.20x = 68,377,523.83
  5. Step 5: Solve for x
    x = 68,377,523.83/3,847.20
  6. Step 6: Final answer
    x = 17,773.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.