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Finding the Third Proportional to 8,214 and 17,274

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Solution

The third proportional to 8,214 and 17,274 is: 36,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214 : 17,274 = 17,274 : x
  2. Step 2: Convert to fraction form
    8,214/17,274 = 17,274/x
  3. Step 3: Cross multiply
    8,214x = 17,274 × 17,274
  4. Step 4: Simplify right side
    8,214x = 298,391,076
  5. Step 5: Solve for x
    x = 298,391,076/8,214
  6. Step 6: Final answer
    x = 36,327.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.