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Finding the Third Proportional to 3,626 and 8,859

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Solution

The third proportional to 3,626 and 8,859 is: 21,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626 : 8,859 = 8,859 : x
  2. Step 2: Convert to fraction form
    3,626/8,859 = 8,859/x
  3. Step 3: Cross multiply
    3,626x = 8,859 × 8,859
  4. Step 4: Simplify right side
    3,626x = 78,481,881
  5. Step 5: Solve for x
    x = 78,481,881/3,626
  6. Step 6: Final answer
    x = 21,644.20

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.