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Finding the Third Proportional to 17,286 and 36,876

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Solution

The third proportional to 17,286 and 36,876 is: 78,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286 : 36,876 = 36,876 : x
  2. Step 2: Convert to fraction form
    17,286/36,876 = 36,876/x
  3. Step 3: Cross multiply
    17,286x = 36,876 × 36,876
  4. Step 4: Simplify right side
    17,286x = 1,359,839,376
  5. Step 5: Solve for x
    x = 1,359,839,376/17,286
  6. Step 6: Final answer
    x = 78,667.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.