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Finding the Third Proportional to 33,750 and 72,990

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Solution

The third proportional to 33,750 and 72,990 is: 157,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,750 : 72,990 = 72,990 : x
  2. Step 2: Convert to fraction form
    33,750/72,990 = 72,990/x
  3. Step 3: Cross multiply
    33,750x = 72,990 × 72,990
  4. Step 4: Simplify right side
    33,750x = 5,327,540,100
  5. Step 5: Solve for x
    x = 5,327,540,100/33,750
  6. Step 6: Final answer
    x = 157,853.04

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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.