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Finding the Third Proportional to 23,265 and 50,876

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Solution

The third proportional to 23,265 and 50,876 is: 111,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265 : 50,876 = 50,876 : x
  2. Step 2: Convert to fraction form
    23,265/50,876 = 50,876/x
  3. Step 3: Cross multiply
    23,265x = 50,876 × 50,876
  4. Step 4: Simplify right side
    23,265x = 2,588,367,376
  5. Step 5: Solve for x
    x = 2,588,367,376/23,265
  6. Step 6: Final answer
    x = 111,255.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.