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Finding the Third Proportional to 36,838 and 80,844

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Solution

The third proportional to 36,838 and 80,844 is: 177,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838 : 80,844 = 80,844 : x
  2. Step 2: Convert to fraction form
    36,838/80,844 = 80,844/x
  3. Step 3: Cross multiply
    36,838x = 80,844 × 80,844
  4. Step 4: Simplify right side
    36,838x = 6,535,752,336
  5. Step 5: Solve for x
    x = 6,535,752,336/36,838
  6. Step 6: Final answer
    x = 177,418.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.