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Finding the Third Proportional to 11,976 and 17,094

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Solution

The third proportional to 11,976 and 17,094 is: 24,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 17,094 = 17,094 : x
  2. Step 2: Convert to fraction form
    11,976/17,094 = 17,094/x
  3. Step 3: Cross multiply
    11,976x = 17,094 × 17,094
  4. Step 4: Simplify right side
    11,976x = 292,204,836
  5. Step 5: Solve for x
    x = 292,204,836/11,976
  6. Step 6: Final answer
    x = 24,399.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.