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Finding the Third Proportional to 4,198 and 8,188

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Solution

The third proportional to 4,198 and 8,188 is: 15,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198 : 8,188 = 8,188 : x
  2. Step 2: Convert to fraction form
    4,198/8,188 = 8,188/x
  3. Step 3: Cross multiply
    4,198x = 8,188 × 8,188
  4. Step 4: Simplify right side
    4,198x = 67,043,344
  5. Step 5: Solve for x
    x = 67,043,344/4,198
  6. Step 6: Final answer
    x = 15,970.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.