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Finding the Third Proportional to 33,600.25 and 73,350

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Solution

The third proportional to 33,600.25 and 73,350 is: 160,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,600.25 : 73,350 = 73,350 : x
  2. Step 2: Convert to fraction form
    33,600.25/73,350 = 73,350/x
  3. Step 3: Cross multiply
    33,600.25x = 73,350 × 73,350
  4. Step 4: Simplify right side
    33,600.25x = 5,380,222,500
  5. Step 5: Solve for x
    x = 5,380,222,500/33,600.25
  6. Step 6: Final answer
    x = 160,124.48

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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.