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Finding the Third Proportional to 33,353.25 and 72,241.50

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Solution

The third proportional to 33,353.25 and 72,241.50 is: 156,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,353.25 : 72,241.50 = 72,241.50 : x
  2. Step 2: Convert to fraction form
    33,353.25/72,241.50 = 72,241.50/x
  3. Step 3: Cross multiply
    33,353.25x = 72,241.50 × 72,241.50
  4. Step 4: Simplify right side
    33,353.25x = 5,218,834,322.25
  5. Step 5: Solve for x
    x = 5,218,834,322.25/33,353.25
  6. Step 6: Final answer
    x = 156,471.54

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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.