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Finding the Third Proportional to 33,492 and 50,670

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Solution

The third proportional to 33,492 and 50,670 is: 76,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,492 : 50,670 = 50,670 : x
  2. Step 2: Convert to fraction form
    33,492/50,670 = 50,670/x
  3. Step 3: Cross multiply
    33,492x = 50,670 × 50,670
  4. Step 4: Simplify right side
    33,492x = 2,567,448,900
  5. Step 5: Solve for x
    x = 2,567,448,900/33,492
  6. Step 6: Final answer
    x = 76,658.57

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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.