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Finding the Third Proportional to 2,186 and 5,267

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Solution

The third proportional to 2,186 and 5,267 is: 12,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186 : 5,267 = 5,267 : x
  2. Step 2: Convert to fraction form
    2,186/5,267 = 5,267/x
  3. Step 3: Cross multiply
    2,186x = 5,267 × 5,267
  4. Step 4: Simplify right side
    2,186x = 27,741,289
  5. Step 5: Solve for x
    x = 27,741,289/2,186
  6. Step 6: Final answer
    x = 12,690.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.