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Finding the Third Proportional to 27,984 and 38,400

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Solution

The third proportional to 27,984 and 38,400 is: 52,692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984 : 38,400 = 38,400 : x
  2. Step 2: Convert to fraction form
    27,984/38,400 = 38,400/x
  3. Step 3: Cross multiply
    27,984x = 38,400 × 38,400
  4. Step 4: Simplify right side
    27,984x = 1,474,560,000
  5. Step 5: Solve for x
    x = 1,474,560,000/27,984
  6. Step 6: Final answer
    x = 52,692.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.