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Finding the Third Proportional to 33,806 and 52,035

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Solution

The third proportional to 33,806 and 52,035 is: 80,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,806 : 52,035 = 52,035 : x
  2. Step 2: Convert to fraction form
    33,806/52,035 = 52,035/x
  3. Step 3: Cross multiply
    33,806x = 52,035 × 52,035
  4. Step 4: Simplify right side
    33,806x = 2,707,641,225
  5. Step 5: Solve for x
    x = 2,707,641,225/33,806
  6. Step 6: Final answer
    x = 80,093.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.