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Finding the Third Proportional to 19,682 and 36,493

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Solution

The third proportional to 19,682 and 36,493 is: 67,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682 : 36,493 = 36,493 : x
  2. Step 2: Convert to fraction form
    19,682/36,493 = 36,493/x
  3. Step 3: Cross multiply
    19,682x = 36,493 × 36,493
  4. Step 4: Simplify right side
    19,682x = 1,331,739,049
  5. Step 5: Solve for x
    x = 1,331,739,049/19,682
  6. Step 6: Final answer
    x = 67,662.79

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.