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Finding the Third Proportional to 5,831 and 13,431

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Solution

The third proportional to 5,831 and 13,431 is: 30,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831 : 13,431 = 13,431 : x
  2. Step 2: Convert to fraction form
    5,831/13,431 = 13,431/x
  3. Step 3: Cross multiply
    5,831x = 13,431 × 13,431
  4. Step 4: Simplify right side
    5,831x = 180,391,761
  5. Step 5: Solve for x
    x = 180,391,761/5,831
  6. Step 6: Final answer
    x = 30,936.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.