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Finding the Third Proportional to 17,183 and 36,616

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Solution

The third proportional to 17,183 and 36,616 is: 78,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,183 : 36,616 = 36,616 : x
  2. Step 2: Convert to fraction form
    17,183/36,616 = 36,616/x
  3. Step 3: Cross multiply
    17,183x = 36,616 × 36,616
  4. Step 4: Simplify right side
    17,183x = 1,340,731,456
  5. Step 5: Solve for x
    x = 1,340,731,456/17,183
  6. Step 6: Final answer
    x = 78,026.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.