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Finding the Third Proportional to 33,136.31 and 49,060.69

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Solution

The third proportional to 33,136.31 and 49,060.69 is: 72,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136.31 : 49,060.69 = 49,060.69 : x
  2. Step 2: Convert to fraction form
    33,136.31/49,060.69 = 49,060.69/x
  3. Step 3: Cross multiply
    33,136.31x = 49,060.69 × 49,060.69
  4. Step 4: Simplify right side
    33,136.31x = 2,406,951,057.97
  5. Step 5: Solve for x
    x = 2,406,951,057.97/33,136.31
  6. Step 6: Final answer
    x = 72,637.87

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.