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Finding the Third Proportional to 36,634 and 79,979

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Solution

The third proportional to 36,634 and 79,979 is: 174,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,634 : 79,979 = 79,979 : x
  2. Step 2: Convert to fraction form
    36,634/79,979 = 79,979/x
  3. Step 3: Cross multiply
    36,634x = 79,979 × 79,979
  4. Step 4: Simplify right side
    36,634x = 6,396,640,441
  5. Step 5: Solve for x
    x = 6,396,640,441/36,634
  6. Step 6: Final answer
    x = 174,609.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.