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Finding the Third Proportional to 33,019.88 and 50,161.50

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Solution

The third proportional to 33,019.88 and 50,161.50 is: 76,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019.88 : 50,161.50 = 50,161.50 : x
  2. Step 2: Convert to fraction form
    33,019.88/50,161.50 = 50,161.50/x
  3. Step 3: Cross multiply
    33,019.88x = 50,161.50 × 50,161.50
  4. Step 4: Simplify right side
    33,019.88x = 2,516,176,082.25
  5. Step 5: Solve for x
    x = 2,516,176,082.25/33,019.88
  6. Step 6: Final answer
    x = 76,201.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.