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Finding the Third Proportional to 2,314 and 4,493

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Solution

The third proportional to 2,314 and 4,493 is: 8,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314 : 4,493 = 4,493 : x
  2. Step 2: Convert to fraction form
    2,314/4,493 = 4,493/x
  3. Step 3: Cross multiply
    2,314x = 4,493 × 4,493
  4. Step 4: Simplify right side
    2,314x = 20,187,049
  5. Step 5: Solve for x
    x = 20,187,049/2,314
  6. Step 6: Final answer
    x = 8,723.88

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.