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Finding the Third Proportional to 23,874 and 52,122

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Solution

The third proportional to 23,874 and 52,122 is: 113,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874 : 52,122 = 52,122 : x
  2. Step 2: Convert to fraction form
    23,874/52,122 = 52,122/x
  3. Step 3: Cross multiply
    23,874x = 52,122 × 52,122
  4. Step 4: Simplify right side
    23,874x = 2,716,702,884
  5. Step 5: Solve for x
    x = 2,716,702,884/23,874
  6. Step 6: Final answer
    x = 113,793.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.