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Finding the Third Proportional to 19,682 and 27,451

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Solution

The third proportional to 19,682 and 27,451 is: 38,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682 : 27,451 = 27,451 : x
  2. Step 2: Convert to fraction form
    19,682/27,451 = 27,451/x
  3. Step 3: Cross multiply
    19,682x = 27,451 × 27,451
  4. Step 4: Simplify right side
    19,682x = 753,557,401
  5. Step 5: Solve for x
    x = 753,557,401/19,682
  6. Step 6: Final answer
    x = 38,286.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.