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Finding the Third Proportional to 4,542 and 5,198

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Solution

The third proportional to 4,542 and 5,198 is: 5,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542 : 5,198 = 5,198 : x
  2. Step 2: Convert to fraction form
    4,542/5,198 = 5,198/x
  3. Step 3: Cross multiply
    4,542x = 5,198 × 5,198
  4. Step 4: Simplify right side
    4,542x = 27,019,204
  5. Step 5: Solve for x
    x = 27,019,204/4,542
  6. Step 6: Final answer
    x = 5,948.75

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.