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Finding the Third Proportional to 33,145 and 50,200

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Solution

The third proportional to 33,145 and 50,200 is: 76,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,145 : 50,200 = 50,200 : x
  2. Step 2: Convert to fraction form
    33,145/50,200 = 50,200/x
  3. Step 3: Cross multiply
    33,145x = 50,200 × 50,200
  4. Step 4: Simplify right side
    33,145x = 2,520,040,000
  5. Step 5: Solve for x
    x = 2,520,040,000/33,145
  6. Step 6: Final answer
    x = 76,030.77

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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.