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Finding the Third Proportional to 22,171.25 and 33,255.88

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Solution

The third proportional to 22,171.25 and 33,255.88 is: 49,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.25 : 33,255.88 = 33,255.88 : x
  2. Step 2: Convert to fraction form
    22,171.25/33,255.88 = 33,255.88/x
  3. Step 3: Cross multiply
    22,171.25x = 33,255.88 × 33,255.88
  4. Step 4: Simplify right side
    22,171.25x = 1,105,953,222.02
  5. Step 5: Solve for x
    x = 1,105,953,222.02/22,171.25
  6. Step 6: Final answer
    x = 49,882.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.