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Finding the Third Proportional to 33,972.75 and 73,617.19

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Solution

The third proportional to 33,972.75 and 73,617.19 is: 159,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,972.75 : 73,617.19 = 73,617.19 : x
  2. Step 2: Convert to fraction form
    33,972.75/73,617.19 = 73,617.19/x
  3. Step 3: Cross multiply
    33,972.75x = 73,617.19 × 73,617.19
  4. Step 4: Simplify right side
    33,972.75x = 5,419,490,295.41
  5. Step 5: Solve for x
    x = 5,419,490,295.41/33,972.75
  6. Step 6: Final answer
    x = 159,524.63

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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.