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Finding the Third Proportional to 20,179 and 26,198

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Solution

The third proportional to 20,179 and 26,198 is: 34,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179 : 26,198 = 26,198 : x
  2. Step 2: Convert to fraction form
    20,179/26,198 = 26,198/x
  3. Step 3: Cross multiply
    20,179x = 26,198 × 26,198
  4. Step 4: Simplify right side
    20,179x = 686,335,204
  5. Step 5: Solve for x
    x = 686,335,204/20,179
  6. Step 6: Final answer
    x = 34,012.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.