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Finding the Third Proportional to 36,206 and 51,879

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Solution

The third proportional to 36,206 and 51,879 is: 74,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206 : 51,879 = 51,879 : x
  2. Step 2: Convert to fraction form
    36,206/51,879 = 51,879/x
  3. Step 3: Cross multiply
    36,206x = 51,879 × 51,879
  4. Step 4: Simplify right side
    36,206x = 2,691,430,641
  5. Step 5: Solve for x
    x = 2,691,430,641/36,206
  6. Step 6: Final answer
    x = 74,336.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.