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Finding the Third Proportional to 12,194 and 17,267

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Solution

The third proportional to 12,194 and 17,267 is: 24,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194 : 17,267 = 17,267 : x
  2. Step 2: Convert to fraction form
    12,194/17,267 = 17,267/x
  3. Step 3: Cross multiply
    12,194x = 17,267 × 17,267
  4. Step 4: Simplify right side
    12,194x = 298,149,289
  5. Step 5: Solve for x
    x = 298,149,289/12,194
  6. Step 6: Final answer
    x = 24,450.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.