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Finding the Third Proportional to 33,231.94 and 49,732.31

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Solution

The third proportional to 33,231.94 and 49,732.31 is: 74,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.94 : 49,732.31 = 49,732.31 : x
  2. Step 2: Convert to fraction form
    33,231.94/49,732.31 = 49,732.31/x
  3. Step 3: Cross multiply
    33,231.94x = 49,732.31 × 49,732.31
  4. Step 4: Simplify right side
    33,231.94x = 2,473,302,906.60
  5. Step 5: Solve for x
    x = 2,473,302,906.60/33,231.94
  6. Step 6: Final answer
    x = 74,425.48

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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.