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Finding the Third Proportional to 22,120.12 and 33,182.79

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Solution

The third proportional to 22,120.12 and 33,182.79 is: 49,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120.12 : 33,182.79 = 33,182.79 : x
  2. Step 2: Convert to fraction form
    22,120.12/33,182.79 = 33,182.79/x
  3. Step 3: Cross multiply
    22,120.12x = 33,182.79 × 33,182.79
  4. Step 4: Simplify right side
    22,120.12x = 1,101,097,489.97
  5. Step 5: Solve for x
    x = 1,101,097,489.97/22,120.12
  6. Step 6: Final answer
    x = 49,778.10

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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.