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Finding the Third Proportional to 11,397 and 15,172

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Solution

The third proportional to 11,397 and 15,172 is: 20,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397 : 15,172 = 15,172 : x
  2. Step 2: Convert to fraction form
    11,397/15,172 = 15,172/x
  3. Step 3: Cross multiply
    11,397x = 15,172 × 15,172
  4. Step 4: Simplify right side
    11,397x = 230,189,584
  5. Step 5: Solve for x
    x = 230,189,584/11,397
  6. Step 6: Final answer
    x = 20,197.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.