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Finding the Third Proportional to 20,744 and 33,400

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Solution

The third proportional to 20,744 and 33,400 is: 53,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744 : 33,400 = 33,400 : x
  2. Step 2: Convert to fraction form
    20,744/33,400 = 33,400/x
  3. Step 3: Cross multiply
    20,744x = 33,400 × 33,400
  4. Step 4: Simplify right side
    20,744x = 1,115,560,000
  5. Step 5: Solve for x
    x = 1,115,560,000/20,744
  6. Step 6: Final answer
    x = 53,777.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.