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Finding the Third Proportional to 17,876 and 27,286

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Solution

The third proportional to 17,876 and 27,286 is: 41,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876 : 27,286 = 27,286 : x
  2. Step 2: Convert to fraction form
    17,876/27,286 = 27,286/x
  3. Step 3: Cross multiply
    17,876x = 27,286 × 27,286
  4. Step 4: Simplify right side
    17,876x = 744,525,796
  5. Step 5: Solve for x
    x = 744,525,796/17,876
  6. Step 6: Final answer
    x = 41,649.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.