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Finding the Third Proportional to 33,990 and 73,450

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Solution

The third proportional to 33,990 and 73,450 is: 158,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990 : 73,450 = 73,450 : x
  2. Step 2: Convert to fraction form
    33,990/73,450 = 73,450/x
  3. Step 3: Cross multiply
    33,990x = 73,450 × 73,450
  4. Step 4: Simplify right side
    33,990x = 5,394,902,500
  5. Step 5: Solve for x
    x = 5,394,902,500/33,990
  6. Step 6: Final answer
    x = 158,720.29

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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.