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Finding the Third Proportional to 11,497 and 17,809

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Solution

The third proportional to 11,497 and 17,809 is: 27,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497 : 17,809 = 17,809 : x
  2. Step 2: Convert to fraction form
    11,497/17,809 = 17,809/x
  3. Step 3: Cross multiply
    11,497x = 17,809 × 17,809
  4. Step 4: Simplify right side
    11,497x = 317,160,481
  5. Step 5: Solve for x
    x = 317,160,481/11,497
  6. Step 6: Final answer
    x = 27,586.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.