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Finding the Third Proportional to 23,251 and 50,897

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Solution

The third proportional to 23,251 and 50,897 is: 111,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251 : 50,897 = 50,897 : x
  2. Step 2: Convert to fraction form
    23,251/50,897 = 50,897/x
  3. Step 3: Cross multiply
    23,251x = 50,897 × 50,897
  4. Step 4: Simplify right side
    23,251x = 2,590,504,609
  5. Step 5: Solve for x
    x = 2,590,504,609/23,251
  6. Step 6: Final answer
    x = 111,414.76

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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.