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Finding the Third Proportional to 32,896.13 and 71,327.25

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Solution

The third proportional to 32,896.13 and 71,327.25 is: 154,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.13 : 71,327.25 = 71,327.25 : x
  2. Step 2: Convert to fraction form
    32,896.13/71,327.25 = 71,327.25/x
  3. Step 3: Cross multiply
    32,896.13x = 71,327.25 × 71,327.25
  4. Step 4: Simplify right side
    32,896.13x = 5,087,576,592.56
  5. Step 5: Solve for x
    x = 5,087,576,592.56/32,896.13
  6. Step 6: Final answer
    x = 154,655.80

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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.