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Finding the Third Proportional to 3,211 and 3,859

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Solution

The third proportional to 3,211 and 3,859 is: 4,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211 : 3,859 = 3,859 : x
  2. Step 2: Convert to fraction form
    3,211/3,859 = 3,859/x
  3. Step 3: Cross multiply
    3,211x = 3,859 × 3,859
  4. Step 4: Simplify right side
    3,211x = 14,891,881
  5. Step 5: Solve for x
    x = 14,891,881/3,211
  6. Step 6: Final answer
    x = 4,637.77

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.