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Finding the Third Proportional to 2,814 and 4,087

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Solution

The third proportional to 2,814 and 4,087 is: 5,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814 : 4,087 = 4,087 : x
  2. Step 2: Convert to fraction form
    2,814/4,087 = 4,087/x
  3. Step 3: Cross multiply
    2,814x = 4,087 × 4,087
  4. Step 4: Simplify right side
    2,814x = 16,703,569
  5. Step 5: Solve for x
    x = 16,703,569/2,814
  6. Step 6: Final answer
    x = 5,935.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.