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Finding the Third Proportional to 8,183 and 17,815

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Solution

The third proportional to 8,183 and 17,815 is: 38,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183 : 17,815 = 17,815 : x
  2. Step 2: Convert to fraction form
    8,183/17,815 = 17,815/x
  3. Step 3: Cross multiply
    8,183x = 17,815 × 17,815
  4. Step 4: Simplify right side
    8,183x = 317,374,225
  5. Step 5: Solve for x
    x = 317,374,225/8,183
  6. Step 6: Final answer
    x = 38,784.58

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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.