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Finding the Third Proportional to 12,792 and 17,116

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Solution

The third proportional to 12,792 and 17,116 is: 22,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792 : 17,116 = 17,116 : x
  2. Step 2: Convert to fraction form
    12,792/17,116 = 17,116/x
  3. Step 3: Cross multiply
    12,792x = 17,116 × 17,116
  4. Step 4: Simplify right side
    12,792x = 292,957,456
  5. Step 5: Solve for x
    x = 292,957,456/12,792
  6. Step 6: Final answer
    x = 22,901.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.