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Finding the Third Proportional to 8,413.03 and 13,198.78

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Solution

The third proportional to 8,413.03 and 13,198.78 is: 20,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.03 : 13,198.78 = 13,198.78 : x
  2. Step 2: Convert to fraction form
    8,413.03/13,198.78 = 13,198.78/x
  3. Step 3: Cross multiply
    8,413.03x = 13,198.78 × 13,198.78
  4. Step 4: Simplify right side
    8,413.03x = 174,207,826.49
  5. Step 5: Solve for x
    x = 174,207,826.49/8,413.03
  6. Step 6: Final answer
    x = 20,706.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.