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Finding the Third Proportional to 20,413.50 and 44,067

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Solution

The third proportional to 20,413.50 and 44,067 is: 95,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.50 : 44,067 = 44,067 : x
  2. Step 2: Convert to fraction form
    20,413.50/44,067 = 44,067/x
  3. Step 3: Cross multiply
    20,413.50x = 44,067 × 44,067
  4. Step 4: Simplify right side
    20,413.50x = 1,941,900,489
  5. Step 5: Solve for x
    x = 1,941,900,489/20,413.50
  6. Step 6: Final answer
    x = 95,128.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.