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Finding the Third Proportional to 33,867 and 52,685

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Solution

The third proportional to 33,867 and 52,685 is: 81,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,867 : 52,685 = 52,685 : x
  2. Step 2: Convert to fraction form
    33,867/52,685 = 52,685/x
  3. Step 3: Cross multiply
    33,867x = 52,685 × 52,685
  4. Step 4: Simplify right side
    33,867x = 2,775,709,225
  5. Step 5: Solve for x
    x = 2,775,709,225/33,867
  6. Step 6: Final answer
    x = 81,959.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.