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Finding the Third Proportional to 33,744.42 and 73,844.60

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Solution

The third proportional to 33,744.42 and 73,844.60 is: 161,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744.42 : 73,844.60 = 73,844.60 : x
  2. Step 2: Convert to fraction form
    33,744.42/73,844.60 = 73,844.60/x
  3. Step 3: Cross multiply
    33,744.42x = 73,844.60 × 73,844.60
  4. Step 4: Simplify right side
    33,744.42x = 5,453,025,179.92
  5. Step 5: Solve for x
    x = 5,453,025,179.92/33,744.42
  6. Step 6: Final answer
    x = 161,597.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.