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Finding the Third Proportional to 5,413.50 and 11,863.13

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Solution

The third proportional to 5,413.50 and 11,863.13 is: 25,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.50 : 11,863.13 = 11,863.13 : x
  2. Step 2: Convert to fraction form
    5,413.50/11,863.13 = 11,863.13/x
  3. Step 3: Cross multiply
    5,413.50x = 11,863.13 × 11,863.13
  4. Step 4: Simplify right side
    5,413.50x = 140,733,734.77
  5. Step 5: Solve for x
    x = 140,733,734.77/5,413.50
  6. Step 6: Final answer
    x = 25,996.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.