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Finding the Third Proportional to 17,982 and 27,361

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Solution

The third proportional to 17,982 and 27,361 is: 41,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982 : 27,361 = 27,361 : x
  2. Step 2: Convert to fraction form
    17,982/27,361 = 27,361/x
  3. Step 3: Cross multiply
    17,982x = 27,361 × 27,361
  4. Step 4: Simplify right side
    17,982x = 748,624,321
  5. Step 5: Solve for x
    x = 748,624,321/17,982
  6. Step 6: Final answer
    x = 41,631.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.