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Finding the Third Proportional to 33,217.25 and 50,103.75

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Solution

The third proportional to 33,217.25 and 50,103.75 is: 75,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,217.25 : 50,103.75 = 50,103.75 : x
  2. Step 2: Convert to fraction form
    33,217.25/50,103.75 = 50,103.75/x
  3. Step 3: Cross multiply
    33,217.25x = 50,103.75 × 50,103.75
  4. Step 4: Simplify right side
    33,217.25x = 2,510,385,764.06
  5. Step 5: Solve for x
    x = 2,510,385,764.06/33,217.25
  6. Step 6: Final answer
    x = 75,574.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.