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Finding the Third Proportional to 11,962 and 27,940

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Solution

The third proportional to 11,962 and 27,940 is: 65,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962 : 27,940 = 27,940 : x
  2. Step 2: Convert to fraction form
    11,962/27,940 = 27,940/x
  3. Step 3: Cross multiply
    11,962x = 27,940 × 27,940
  4. Step 4: Simplify right side
    11,962x = 780,643,600
  5. Step 5: Solve for x
    x = 780,643,600/11,962
  6. Step 6: Final answer
    x = 65,260.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.