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Finding the Third Proportional to 18,381 and 39,873

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Solution

The third proportional to 18,381 and 39,873 is: 86,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381 : 39,873 = 39,873 : x
  2. Step 2: Convert to fraction form
    18,381/39,873 = 39,873/x
  3. Step 3: Cross multiply
    18,381x = 39,873 × 39,873
  4. Step 4: Simplify right side
    18,381x = 1,589,856,129
  5. Step 5: Solve for x
    x = 1,589,856,129/18,381
  6. Step 6: Final answer
    x = 86,494.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.