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Finding the Third Proportional to 8,193 and 17,389

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Solution

The third proportional to 8,193 and 17,389 is: 36,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193 : 17,389 = 17,389 : x
  2. Step 2: Convert to fraction form
    8,193/17,389 = 17,389/x
  3. Step 3: Cross multiply
    8,193x = 17,389 × 17,389
  4. Step 4: Simplify right side
    8,193x = 302,377,321
  5. Step 5: Solve for x
    x = 302,377,321/8,193
  6. Step 6: Final answer
    x = 36,906.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.