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Finding the Third Proportional to 8,432 and 13,198

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Solution

The third proportional to 8,432 and 13,198 is: 20,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432 : 13,198 = 13,198 : x
  2. Step 2: Convert to fraction form
    8,432/13,198 = 13,198/x
  3. Step 3: Cross multiply
    8,432x = 13,198 × 13,198
  4. Step 4: Simplify right side
    8,432x = 174,187,204
  5. Step 5: Solve for x
    x = 174,187,204/8,432
  6. Step 6: Final answer
    x = 20,657.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.