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Finding the Third Proportional to 8,226 and 17,766

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Solution

The third proportional to 8,226 and 17,766 is: 38,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226 : 17,766 = 17,766 : x
  2. Step 2: Convert to fraction form
    8,226/17,766 = 17,766/x
  3. Step 3: Cross multiply
    8,226x = 17,766 × 17,766
  4. Step 4: Simplify right side
    8,226x = 315,630,756
  5. Step 5: Solve for x
    x = 315,630,756/8,226
  6. Step 6: Final answer
    x = 38,369.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.