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Finding the Third Proportional to 18,694 and 39,982

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Solution

The third proportional to 18,694 and 39,982 is: 85,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,694 : 39,982 = 39,982 : x
  2. Step 2: Convert to fraction form
    18,694/39,982 = 39,982/x
  3. Step 3: Cross multiply
    18,694x = 39,982 × 39,982
  4. Step 4: Simplify right side
    18,694x = 1,598,560,324
  5. Step 5: Solve for x
    x = 1,598,560,324/18,694
  6. Step 6: Final answer
    x = 85,511.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.