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Finding the Third Proportional to 17,766 and 38,267

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Solution

The third proportional to 17,766 and 38,267 is: 82,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766 : 38,267 = 38,267 : x
  2. Step 2: Convert to fraction form
    17,766/38,267 = 38,267/x
  3. Step 3: Cross multiply
    17,766x = 38,267 × 38,267
  4. Step 4: Simplify right side
    17,766x = 1,464,363,289
  5. Step 5: Solve for x
    x = 1,464,363,289/17,766
  6. Step 6: Final answer
    x = 82,425.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.