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Finding the Third Proportional to 33,923 and 49,903

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Solution

The third proportional to 33,923 and 49,903 is: 73,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923 : 49,903 = 49,903 : x
  2. Step 2: Convert to fraction form
    33,923/49,903 = 49,903/x
  3. Step 3: Cross multiply
    33,923x = 49,903 × 49,903
  4. Step 4: Simplify right side
    33,923x = 2,490,309,409
  5. Step 5: Solve for x
    x = 2,490,309,409/33,923
  6. Step 6: Final answer
    x = 73,410.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.