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Finding the Third Proportional to 12,724 and 17,198

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Solution

The third proportional to 12,724 and 17,198 is: 23,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724 : 17,198 = 17,198 : x
  2. Step 2: Convert to fraction form
    12,724/17,198 = 17,198/x
  3. Step 3: Cross multiply
    12,724x = 17,198 × 17,198
  4. Step 4: Simplify right side
    12,724x = 295,771,204
  5. Step 5: Solve for x
    x = 295,771,204/12,724
  6. Step 6: Final answer
    x = 23,245.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.