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Finding the Third Proportional to 33,501 and 50,685

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Solution

The third proportional to 33,501 and 50,685 is: 76,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,501 : 50,685 = 50,685 : x
  2. Step 2: Convert to fraction form
    33,501/50,685 = 50,685/x
  3. Step 3: Cross multiply
    33,501x = 50,685 × 50,685
  4. Step 4: Simplify right side
    33,501x = 2,568,969,225
  5. Step 5: Solve for x
    x = 2,568,969,225/33,501
  6. Step 6: Final answer
    x = 76,683.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.