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Finding the Third Proportional to 23,791 and 50,264

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Solution

The third proportional to 23,791 and 50,264 is: 106,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791 : 50,264 = 50,264 : x
  2. Step 2: Convert to fraction form
    23,791/50,264 = 50,264/x
  3. Step 3: Cross multiply
    23,791x = 50,264 × 50,264
  4. Step 4: Simplify right side
    23,791x = 2,526,469,696
  5. Step 5: Solve for x
    x = 2,526,469,696/23,791
  6. Step 6: Final answer
    x = 106,194.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.