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Finding the Third Proportional to 33,634 and 50,467

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Solution

The third proportional to 33,634 and 50,467 is: 75,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634 : 50,467 = 50,467 : x
  2. Step 2: Convert to fraction form
    33,634/50,467 = 50,467/x
  3. Step 3: Cross multiply
    33,634x = 50,467 × 50,467
  4. Step 4: Simplify right side
    33,634x = 2,546,918,089
  5. Step 5: Solve for x
    x = 2,546,918,089/33,634
  6. Step 6: Final answer
    x = 75,724.51

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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.