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Finding the Third Proportional to 33,794 and 78,965

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Solution

The third proportional to 33,794 and 78,965 is: 184,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794 : 78,965 = 78,965 : x
  2. Step 2: Convert to fraction form
    33,794/78,965 = 78,965/x
  3. Step 3: Cross multiply
    33,794x = 78,965 × 78,965
  4. Step 4: Simplify right side
    33,794x = 6,235,471,225
  5. Step 5: Solve for x
    x = 6,235,471,225/33,794
  6. Step 6: Final answer
    x = 184,514.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.