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Finding the Third Proportional to 8,183 and 17,887

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Solution

The third proportional to 8,183 and 17,887 is: 39,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183 : 17,887 = 17,887 : x
  2. Step 2: Convert to fraction form
    8,183/17,887 = 17,887/x
  3. Step 3: Cross multiply
    8,183x = 17,887 × 17,887
  4. Step 4: Simplify right side
    8,183x = 319,944,769
  5. Step 5: Solve for x
    x = 319,944,769/8,183
  6. Step 6: Final answer
    x = 39,098.71

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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.