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Finding the Third Proportional to 5,992 and 14,164

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Solution

The third proportional to 5,992 and 14,164 is: 33,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992 : 14,164 = 14,164 : x
  2. Step 2: Convert to fraction form
    5,992/14,164 = 14,164/x
  3. Step 3: Cross multiply
    5,992x = 14,164 × 14,164
  4. Step 4: Simplify right side
    5,992x = 200,618,896
  5. Step 5: Solve for x
    x = 200,618,896/5,992
  6. Step 6: Final answer
    x = 33,481.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.