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Finding the Third Proportional to 33,254 and 50,225

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Solution

The third proportional to 33,254 and 50,225 is: 75,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254 : 50,225 = 50,225 : x
  2. Step 2: Convert to fraction form
    33,254/50,225 = 50,225/x
  3. Step 3: Cross multiply
    33,254x = 50,225 × 50,225
  4. Step 4: Simplify right side
    33,254x = 2,522,550,625
  5. Step 5: Solve for x
    x = 2,522,550,625/33,254
  6. Step 6: Final answer
    x = 75,857.06

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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.