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Finding the Third Proportional to 5,456.11 and 8,229.73

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Solution

The third proportional to 5,456.11 and 8,229.73 is: 12,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.11 : 8,229.73 = 8,229.73 : x
  2. Step 2: Convert to fraction form
    5,456.11/8,229.73 = 8,229.73/x
  3. Step 3: Cross multiply
    5,456.11x = 8,229.73 × 8,229.73
  4. Step 4: Simplify right side
    5,456.11x = 67,728,399.29
  5. Step 5: Solve for x
    x = 67,728,399.29/5,456.11
  6. Step 6: Final answer
    x = 12,413.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.