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Finding the Third Proportional to 8,227 and 17,769.50

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Solution

The third proportional to 8,227 and 17,769.50 is: 38,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227 : 17,769.50 = 17,769.50 : x
  2. Step 2: Convert to fraction form
    8,227/17,769.50 = 17,769.50/x
  3. Step 3: Cross multiply
    8,227x = 17,769.50 × 17,769.50
  4. Step 4: Simplify right side
    8,227x = 315,755,130.25
  5. Step 5: Solve for x
    x = 315,755,130.25/8,227
  6. Step 6: Final answer
    x = 38,380.35

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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.