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Finding the Third Proportional to 5,841 and 13,965

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Solution

The third proportional to 5,841 and 13,965 is: 33,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841 : 13,965 = 13,965 : x
  2. Step 2: Convert to fraction form
    5,841/13,965 = 13,965/x
  3. Step 3: Cross multiply
    5,841x = 13,965 × 13,965
  4. Step 4: Simplify right side
    5,841x = 195,021,225
  5. Step 5: Solve for x
    x = 195,021,225/5,841
  6. Step 6: Final answer
    x = 33,388.33

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.