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Finding the Third Proportional to 33,180.89 and 71,896.36

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Solution

The third proportional to 33,180.89 and 71,896.36 is: 155,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.89 : 71,896.36 = 71,896.36 : x
  2. Step 2: Convert to fraction form
    33,180.89/71,896.36 = 71,896.36/x
  3. Step 3: Cross multiply
    33,180.89x = 71,896.36 × 71,896.36
  4. Step 4: Simplify right side
    33,180.89x = 5,169,086,491.38
  5. Step 5: Solve for x
    x = 5,169,086,491.38/33,180.89
  6. Step 6: Final answer
    x = 155,785.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.