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Finding the Third Proportional to 7,384 and 17,626

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Solution

The third proportional to 7,384 and 17,626 is: 42,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384 : 17,626 = 17,626 : x
  2. Step 2: Convert to fraction form
    7,384/17,626 = 17,626/x
  3. Step 3: Cross multiply
    7,384x = 17,626 × 17,626
  4. Step 4: Simplify right side
    7,384x = 310,675,876
  5. Step 5: Solve for x
    x = 310,675,876/7,384
  6. Step 6: Final answer
    x = 42,074.20

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.