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Finding the Third Proportional to 33,384.38 and 51,991.31

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Solution

The third proportional to 33,384.38 and 51,991.31 is: 80,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384.38 : 51,991.31 = 51,991.31 : x
  2. Step 2: Convert to fraction form
    33,384.38/51,991.31 = 51,991.31/x
  3. Step 3: Cross multiply
    33,384.38x = 51,991.31 × 51,991.31
  4. Step 4: Simplify right side
    33,384.38x = 2,703,096,575.47
  5. Step 5: Solve for x
    x = 2,703,096,575.47/33,384.38
  6. Step 6: Final answer
    x = 80,968.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.