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Finding the Third Proportional to 2,186 and 2,474

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Solution

The third proportional to 2,186 and 2,474 is: 2,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186 : 2,474 = 2,474 : x
  2. Step 2: Convert to fraction form
    2,186/2,474 = 2,474/x
  3. Step 3: Cross multiply
    2,186x = 2,474 × 2,474
  4. Step 4: Simplify right side
    2,186x = 6,120,676
  5. Step 5: Solve for x
    x = 6,120,676/2,186
  6. Step 6: Final answer
    x = 2,799.94

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.