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Finding the Third Proportional to 8,238 and 16,242

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Solution

The third proportional to 8,238 and 16,242 is: 32,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238 : 16,242 = 16,242 : x
  2. Step 2: Convert to fraction form
    8,238/16,242 = 16,242/x
  3. Step 3: Cross multiply
    8,238x = 16,242 × 16,242
  4. Step 4: Simplify right side
    8,238x = 263,802,564
  5. Step 5: Solve for x
    x = 263,802,564/8,238
  6. Step 6: Final answer
    x = 32,022.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.