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Finding the Third Proportional to 5,965 and 14,081

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Solution

The third proportional to 5,965 and 14,081 is: 33,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965 : 14,081 = 14,081 : x
  2. Step 2: Convert to fraction form
    5,965/14,081 = 14,081/x
  3. Step 3: Cross multiply
    5,965x = 14,081 × 14,081
  4. Step 4: Simplify right side
    5,965x = 198,274,561
  5. Step 5: Solve for x
    x = 198,274,561/5,965
  6. Step 6: Final answer
    x = 33,239.66

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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.