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Finding the Third Proportional to 23,978 and 51,241

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Solution

The third proportional to 23,978 and 51,241 is: 109,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978 : 51,241 = 51,241 : x
  2. Step 2: Convert to fraction form
    23,978/51,241 = 51,241/x
  3. Step 3: Cross multiply
    23,978x = 51,241 × 51,241
  4. Step 4: Simplify right side
    23,978x = 2,625,640,081
  5. Step 5: Solve for x
    x = 2,625,640,081/23,978
  6. Step 6: Final answer
    x = 109,502.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.