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Finding the Third Proportional to 4,238 and 5,991

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Solution

The third proportional to 4,238 and 5,991 is: 8,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238 : 5,991 = 5,991 : x
  2. Step 2: Convert to fraction form
    4,238/5,991 = 5,991/x
  3. Step 3: Cross multiply
    4,238x = 5,991 × 5,991
  4. Step 4: Simplify right side
    4,238x = 35,892,081
  5. Step 5: Solve for x
    x = 35,892,081/4,238
  6. Step 6: Final answer
    x = 8,469.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.