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Finding the Third Proportional to 2,214 and 2,422

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Solution

The third proportional to 2,214 and 2,422 is: 2,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 2,422 = 2,422 : x
  2. Step 2: Convert to fraction form
    2,214/2,422 = 2,422/x
  3. Step 3: Cross multiply
    2,214x = 2,422 × 2,422
  4. Step 4: Simplify right side
    2,214x = 5,866,084
  5. Step 5: Solve for x
    x = 5,866,084/2,214
  6. Step 6: Final answer
    x = 2,649.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.