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Finding the Third Proportional to 23,756 and 50,194

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Solution

The third proportional to 23,756 and 50,194 is: 106,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756 : 50,194 = 50,194 : x
  2. Step 2: Convert to fraction form
    23,756/50,194 = 50,194/x
  3. Step 3: Cross multiply
    23,756x = 50,194 × 50,194
  4. Step 4: Simplify right side
    23,756x = 2,519,437,636
  5. Step 5: Solve for x
    x = 2,519,437,636/23,756
  6. Step 6: Final answer
    x = 106,054.79

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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.