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Finding the Third Proportional to 4,954 and 5,422

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Solution

The third proportional to 4,954 and 5,422 is: 5,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954 : 5,422 = 5,422 : x
  2. Step 2: Convert to fraction form
    4,954/5,422 = 5,422/x
  3. Step 3: Cross multiply
    4,954x = 5,422 × 5,422
  4. Step 4: Simplify right side
    4,954x = 29,398,084
  5. Step 5: Solve for x
    x = 29,398,084/4,954
  6. Step 6: Final answer
    x = 5,934.21

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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.