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Finding the Third Proportional to 23,814 and 51,279

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Solution

The third proportional to 23,814 and 51,279 is: 110,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814 : 51,279 = 51,279 : x
  2. Step 2: Convert to fraction form
    23,814/51,279 = 51,279/x
  3. Step 3: Cross multiply
    23,814x = 51,279 × 51,279
  4. Step 4: Simplify right side
    23,814x = 2,629,535,841
  5. Step 5: Solve for x
    x = 2,629,535,841/23,814
  6. Step 6: Final answer
    x = 110,419.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.