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Finding the Third Proportional to 1,257 and 2,757

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Solution

The third proportional to 1,257 and 2,757 is: 6,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257 : 2,757 = 2,757 : x
  2. Step 2: Convert to fraction form
    1,257/2,757 = 2,757/x
  3. Step 3: Cross multiply
    1,257x = 2,757 × 2,757
  4. Step 4: Simplify right side
    1,257x = 7,601,049
  5. Step 5: Solve for x
    x = 7,601,049/1,257
  6. Step 6: Final answer
    x = 6,046.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.