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Finding the Third Proportional to 8,137 and 17,767

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Solution

The third proportional to 8,137 and 17,767 is: 38,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137 : 17,767 = 17,767 : x
  2. Step 2: Convert to fraction form
    8,137/17,767 = 17,767/x
  3. Step 3: Cross multiply
    8,137x = 17,767 × 17,767
  4. Step 4: Simplify right side
    8,137x = 315,666,289
  5. Step 5: Solve for x
    x = 315,666,289/8,137
  6. Step 6: Final answer
    x = 38,793.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.