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Finding the Third Proportional to 22,043.71 and 33,115.39

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Solution

The third proportional to 22,043.71 and 33,115.39 is: 49,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,043.71 : 33,115.39 = 33,115.39 : x
  2. Step 2: Convert to fraction form
    22,043.71/33,115.39 = 33,115.39/x
  3. Step 3: Cross multiply
    22,043.71x = 33,115.39 × 33,115.39
  4. Step 4: Simplify right side
    22,043.71x = 1,096,629,354.96
  5. Step 5: Solve for x
    x = 1,096,629,354.96/22,043.71
  6. Step 6: Final answer
    x = 49,747.96

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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.