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Finding the Third Proportional to 20,131.50 and 54,338.25

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Solution

The third proportional to 20,131.50 and 54,338.25 is: 146,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.50 : 54,338.25 = 54,338.25 : x
  2. Step 2: Convert to fraction form
    20,131.50/54,338.25 = 54,338.25/x
  3. Step 3: Cross multiply
    20,131.50x = 54,338.25 × 54,338.25
  4. Step 4: Simplify right side
    20,131.50x = 2,952,645,413.06
  5. Step 5: Solve for x
    x = 2,952,645,413.06/20,131.50
  6. Step 6: Final answer
    x = 146,667.93

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.