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Finding the Third Proportional to 2,571 and 2,745

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Solution

The third proportional to 2,571 and 2,745 is: 2,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571 : 2,745 = 2,745 : x
  2. Step 2: Convert to fraction form
    2,571/2,745 = 2,745/x
  3. Step 3: Cross multiply
    2,571x = 2,745 × 2,745
  4. Step 4: Simplify right side
    2,571x = 7,535,025
  5. Step 5: Solve for x
    x = 7,535,025/2,571
  6. Step 6: Final answer
    x = 2,930.78

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.