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Finding the Third Proportional to 3,969 and 5,896

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Solution

The third proportional to 3,969 and 5,896 is: 8,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969 : 5,896 = 5,896 : x
  2. Step 2: Convert to fraction form
    3,969/5,896 = 5,896/x
  3. Step 3: Cross multiply
    3,969x = 5,896 × 5,896
  4. Step 4: Simplify right side
    3,969x = 34,762,816
  5. Step 5: Solve for x
    x = 34,762,816/3,969
  6. Step 6: Final answer
    x = 8,758.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.