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Finding the Third Proportional to 33,608.55 and 73,144.05

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Solution

The third proportional to 33,608.55 and 73,144.05 is: 159,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,608.55 : 73,144.05 = 73,144.05 : x
  2. Step 2: Convert to fraction form
    33,608.55/73,144.05 = 73,144.05/x
  3. Step 3: Cross multiply
    33,608.55x = 73,144.05 × 73,144.05
  4. Step 4: Simplify right side
    33,608.55x = 5,350,052,736.13
  5. Step 5: Solve for x
    x = 5,350,052,736.13/33,608.55
  6. Step 6: Final answer
    x = 159,187.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.