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Finding the Third Proportional to 5,960 and 14,092

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Solution

The third proportional to 5,960 and 14,092 is: 33,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960 : 14,092 = 14,092 : x
  2. Step 2: Convert to fraction form
    5,960/14,092 = 14,092/x
  3. Step 3: Cross multiply
    5,960x = 14,092 × 14,092
  4. Step 4: Simplify right side
    5,960x = 198,584,464
  5. Step 5: Solve for x
    x = 198,584,464/5,960
  6. Step 6: Final answer
    x = 33,319.54

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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.