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Finding the Third Proportional to 11,427 and 17,094

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Solution

The third proportional to 11,427 and 17,094 is: 25,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427 : 17,094 = 17,094 : x
  2. Step 2: Convert to fraction form
    11,427/17,094 = 17,094/x
  3. Step 3: Cross multiply
    11,427x = 17,094 × 17,094
  4. Step 4: Simplify right side
    11,427x = 292,204,836
  5. Step 5: Solve for x
    x = 292,204,836/11,427
  6. Step 6: Final answer
    x = 25,571.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.