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Finding the Third Proportional to 8,230 and 16,226

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Solution

The third proportional to 8,230 and 16,226 is: 31,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230 : 16,226 = 16,226 : x
  2. Step 2: Convert to fraction form
    8,230/16,226 = 16,226/x
  3. Step 3: Cross multiply
    8,230x = 16,226 × 16,226
  4. Step 4: Simplify right side
    8,230x = 263,283,076
  5. Step 5: Solve for x
    x = 263,283,076/8,230
  6. Step 6: Final answer
    x = 31,990.65

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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.