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Finding the Third Proportional to 11,747 and 17,626

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Solution

The third proportional to 11,747 and 17,626 is: 26,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747 : 17,626 = 17,626 : x
  2. Step 2: Convert to fraction form
    11,747/17,626 = 17,626/x
  3. Step 3: Cross multiply
    11,747x = 17,626 × 17,626
  4. Step 4: Simplify right side
    11,747x = 310,675,876
  5. Step 5: Solve for x
    x = 310,675,876/11,747
  6. Step 6: Final answer
    x = 26,447.25

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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.