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Finding the Third Proportional to 12,233 and 17,116

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Solution

The third proportional to 12,233 and 17,116 is: 23,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233 : 17,116 = 17,116 : x
  2. Step 2: Convert to fraction form
    12,233/17,116 = 17,116/x
  3. Step 3: Cross multiply
    12,233x = 17,116 × 17,116
  4. Step 4: Simplify right side
    12,233x = 292,957,456
  5. Step 5: Solve for x
    x = 292,957,456/12,233
  6. Step 6: Final answer
    x = 23,948.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.