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Finding the Third Proportional to 33,222 and 49,740

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Solution

The third proportional to 33,222 and 49,740 is: 74,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222 : 49,740 = 49,740 : x
  2. Step 2: Convert to fraction form
    33,222/49,740 = 49,740/x
  3. Step 3: Cross multiply
    33,222x = 49,740 × 49,740
  4. Step 4: Simplify right side
    33,222x = 2,474,067,600
  5. Step 5: Solve for x
    x = 2,474,067,600/33,222
  6. Step 6: Final answer
    x = 74,470.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.