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Finding the Third Proportional to 33,979 and 73,187

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Solution

The third proportional to 33,979 and 73,187 is: 157,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,979 : 73,187 = 73,187 : x
  2. Step 2: Convert to fraction form
    33,979/73,187 = 73,187/x
  3. Step 3: Cross multiply
    33,979x = 73,187 × 73,187
  4. Step 4: Simplify right side
    33,979x = 5,356,336,969
  5. Step 5: Solve for x
    x = 5,356,336,969/33,979
  6. Step 6: Final answer
    x = 157,636.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.