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Finding the Third Proportional to 2,571 and 4,257

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Solution

The third proportional to 2,571 and 4,257 is: 7,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571 : 4,257 = 4,257 : x
  2. Step 2: Convert to fraction form
    2,571/4,257 = 4,257/x
  3. Step 3: Cross multiply
    2,571x = 4,257 × 4,257
  4. Step 4: Simplify right side
    2,571x = 18,122,049
  5. Step 5: Solve for x
    x = 18,122,049/2,571
  6. Step 6: Final answer
    x = 7,048.64

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.