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Finding the Third Proportional to 33,768 and 50,670

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Solution

The third proportional to 33,768 and 50,670 is: 76,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768 : 50,670 = 50,670 : x
  2. Step 2: Convert to fraction form
    33,768/50,670 = 50,670/x
  3. Step 3: Cross multiply
    33,768x = 50,670 × 50,670
  4. Step 4: Simplify right side
    33,768x = 2,567,448,900
  5. Step 5: Solve for x
    x = 2,567,448,900/33,768
  6. Step 6: Final answer
    x = 76,032.01

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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.