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Finding the Third Proportional to 10,982 and 17,116

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Solution

The third proportional to 10,982 and 17,116 is: 26,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982 : 17,116 = 17,116 : x
  2. Step 2: Convert to fraction form
    10,982/17,116 = 17,116/x
  3. Step 3: Cross multiply
    10,982x = 17,116 × 17,116
  4. Step 4: Simplify right side
    10,982x = 292,957,456
  5. Step 5: Solve for x
    x = 292,957,456/10,982
  6. Step 6: Final answer
    x = 26,676.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.