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Finding the Third Proportional to 2,331.28 and 5,413.92

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Solution

The third proportional to 2,331.28 and 5,413.92 is: 12,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.28 : 5,413.92 = 5,413.92 : x
  2. Step 2: Convert to fraction form
    2,331.28/5,413.92 = 5,413.92/x
  3. Step 3: Cross multiply
    2,331.28x = 5,413.92 × 5,413.92
  4. Step 4: Simplify right side
    2,331.28x = 29,310,550.07
  5. Step 5: Solve for x
    x = 29,310,550.07/2,331.28
  6. Step 6: Final answer
    x = 12,572.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.