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Finding the Third Proportional to 21,982 and 33,049

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Solution

The third proportional to 21,982 and 33,049 is: 49,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982 : 33,049 = 33,049 : x
  2. Step 2: Convert to fraction form
    21,982/33,049 = 33,049/x
  3. Step 3: Cross multiply
    21,982x = 33,049 × 33,049
  4. Step 4: Simplify right side
    21,982x = 1,092,236,401
  5. Step 5: Solve for x
    x = 1,092,236,401/21,982
  6. Step 6: Final answer
    x = 49,687.76

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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.