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Finding the Third Proportional to 33,400 and 50,100

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Solution

The third proportional to 33,400 and 50,100 is: 75,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 50,100 = 50,100 : x
  2. Step 2: Convert to fraction form
    33,400/50,100 = 50,100/x
  3. Step 3: Cross multiply
    33,400x = 50,100 × 50,100
  4. Step 4: Simplify right side
    33,400x = 2,510,010,000
  5. Step 5: Solve for x
    x = 2,510,010,000/33,400
  6. Step 6: Final answer
    x = 75,150

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.