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Finding the Third Proportional to 2,227 and 2,551

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Solution

The third proportional to 2,227 and 2,551 is: 2,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227 : 2,551 = 2,551 : x
  2. Step 2: Convert to fraction form
    2,227/2,551 = 2,551/x
  3. Step 3: Cross multiply
    2,227x = 2,551 × 2,551
  4. Step 4: Simplify right side
    2,227x = 6,507,601
  5. Step 5: Solve for x
    x = 6,507,601/2,227
  6. Step 6: Final answer
    x = 2,922.14

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.