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Finding the Third Proportional to 8,228 and 18,274

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Solution

The third proportional to 8,228 and 18,274 is: 40,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228 : 18,274 = 18,274 : x
  2. Step 2: Convert to fraction form
    8,228/18,274 = 18,274/x
  3. Step 3: Cross multiply
    8,228x = 18,274 × 18,274
  4. Step 4: Simplify right side
    8,228x = 333,939,076
  5. Step 5: Solve for x
    x = 333,939,076/8,228
  6. Step 6: Final answer
    x = 40,585.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.