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Finding the Third Proportional to 23,267 and 50,269

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Solution

The third proportional to 23,267 and 50,269 is: 108,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267 : 50,269 = 50,269 : x
  2. Step 2: Convert to fraction form
    23,267/50,269 = 50,269/x
  3. Step 3: Cross multiply
    23,267x = 50,269 × 50,269
  4. Step 4: Simplify right side
    23,267x = 2,526,972,361
  5. Step 5: Solve for x
    x = 2,526,972,361/23,267
  6. Step 6: Final answer
    x = 108,607.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.