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Finding the Third Proportional to 2,257 and 3,376

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Solution

The third proportional to 2,257 and 3,376 is: 5,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257 : 3,376 = 3,376 : x
  2. Step 2: Convert to fraction form
    2,257/3,376 = 3,376/x
  3. Step 3: Cross multiply
    2,257x = 3,376 × 3,376
  4. Step 4: Simplify right side
    2,257x = 11,397,376
  5. Step 5: Solve for x
    x = 11,397,376/2,257
  6. Step 6: Final answer
    x = 5,049.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.