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Finding the Third Proportional to 8,218 and 17,823

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Solution

The third proportional to 8,218 and 17,823 is: 38,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218 : 17,823 = 17,823 : x
  2. Step 2: Convert to fraction form
    8,218/17,823 = 17,823/x
  3. Step 3: Cross multiply
    8,218x = 17,823 × 17,823
  4. Step 4: Simplify right side
    8,218x = 317,659,329
  5. Step 5: Solve for x
    x = 317,659,329/8,218
  6. Step 6: Final answer
    x = 38,654.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.