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Finding the Third Proportional to 5,198 and 5,936

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Solution

The third proportional to 5,198 and 5,936 is: 6,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198 : 5,936 = 5,936 : x
  2. Step 2: Convert to fraction form
    5,198/5,936 = 5,936/x
  3. Step 3: Cross multiply
    5,198x = 5,936 × 5,936
  4. Step 4: Simplify right side
    5,198x = 35,236,096
  5. Step 5: Solve for x
    x = 35,236,096/5,198
  6. Step 6: Final answer
    x = 6,778.78

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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.