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Finding the Third Proportional to 17,985 and 27,227

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Solution

The third proportional to 17,985 and 27,227 is: 41,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985 : 27,227 = 27,227 : x
  2. Step 2: Convert to fraction form
    17,985/27,227 = 27,227/x
  3. Step 3: Cross multiply
    17,985x = 27,227 × 27,227
  4. Step 4: Simplify right side
    17,985x = 741,309,529
  5. Step 5: Solve for x
    x = 741,309,529/17,985
  6. Step 6: Final answer
    x = 41,218.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.