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Finding the Third Proportional to 3,900 and 5,891

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Solution

The third proportional to 3,900 and 5,891 is: 8,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900 : 5,891 = 5,891 : x
  2. Step 2: Convert to fraction form
    3,900/5,891 = 5,891/x
  3. Step 3: Cross multiply
    3,900x = 5,891 × 5,891
  4. Step 4: Simplify right side
    3,900x = 34,703,881
  5. Step 5: Solve for x
    x = 34,703,881/3,900
  6. Step 6: Final answer
    x = 8,898.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.