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Finding the Third Proportional to 33,632 and 50,699

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Solution

The third proportional to 33,632 and 50,699 is: 76,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632 : 50,699 = 50,699 : x
  2. Step 2: Convert to fraction form
    33,632/50,699 = 50,699/x
  3. Step 3: Cross multiply
    33,632x = 50,699 × 50,699
  4. Step 4: Simplify right side
    33,632x = 2,570,388,601
  5. Step 5: Solve for x
    x = 2,570,388,601/33,632
  6. Step 6: Final answer
    x = 76,426.87

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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.