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Finding the Third Proportional to 33,327.28 and 72,189.56

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Solution

The third proportional to 33,327.28 and 72,189.56 is: 156,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,327.28 : 72,189.56 = 72,189.56 : x
  2. Step 2: Convert to fraction form
    33,327.28/72,189.56 = 72,189.56/x
  3. Step 3: Cross multiply
    33,327.28x = 72,189.56 × 72,189.56
  4. Step 4: Simplify right side
    33,327.28x = 5,211,332,933.94
  5. Step 5: Solve for x
    x = 5,211,332,933.94/33,327.28
  6. Step 6: Final answer
    x = 156,368.38

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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.