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Finding the Third Proportional to 33,493 and 72,245

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Solution

The third proportional to 33,493 and 72,245 is: 155,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493 : 72,245 = 72,245 : x
  2. Step 2: Convert to fraction form
    33,493/72,245 = 72,245/x
  3. Step 3: Cross multiply
    33,493x = 72,245 × 72,245
  4. Step 4: Simplify right side
    33,493x = 5,219,340,025
  5. Step 5: Solve for x
    x = 5,219,340,025/33,493
  6. Step 6: Final answer
    x = 155,833.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.