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Finding the Third Proportional to 17,944 and 36,616

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Solution

The third proportional to 17,944 and 36,616 is: 74,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,944 : 36,616 = 36,616 : x
  2. Step 2: Convert to fraction form
    17,944/36,616 = 36,616/x
  3. Step 3: Cross multiply
    17,944x = 36,616 × 36,616
  4. Step 4: Simplify right side
    17,944x = 1,340,731,456
  5. Step 5: Solve for x
    x = 1,340,731,456/17,944
  6. Step 6: Final answer
    x = 74,717.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.