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Finding the Third Proportional to 33,141 and 50,195

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Solution

The third proportional to 33,141 and 50,195 is: 76,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141 : 50,195 = 50,195 : x
  2. Step 2: Convert to fraction form
    33,141/50,195 = 50,195/x
  3. Step 3: Cross multiply
    33,141x = 50,195 × 50,195
  4. Step 4: Simplify right side
    33,141x = 2,519,538,025
  5. Step 5: Solve for x
    x = 2,519,538,025/33,141
  6. Step 6: Final answer
    x = 76,024.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.