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Finding the Third Proportional to 11,489 and 17,234

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Solution

The third proportional to 11,489 and 17,234 is: 25,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489 : 17,234 = 17,234 : x
  2. Step 2: Convert to fraction form
    11,489/17,234 = 17,234/x
  3. Step 3: Cross multiply
    11,489x = 17,234 × 17,234
  4. Step 4: Simplify right side
    11,489x = 297,010,756
  5. Step 5: Solve for x
    x = 297,010,756/11,489
  6. Step 6: Final answer
    x = 25,851.75

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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.