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Finding the Third Proportional to 16,291 and 38,782

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Solution

The third proportional to 16,291 and 38,782 is: 92,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291 : 38,782 = 38,782 : x
  2. Step 2: Convert to fraction form
    16,291/38,782 = 38,782/x
  3. Step 3: Cross multiply
    16,291x = 38,782 × 38,782
  4. Step 4: Simplify right side
    16,291x = 1,504,043,524
  5. Step 5: Solve for x
    x = 1,504,043,524/16,291
  6. Step 6: Final answer
    x = 92,323.59

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.