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Finding the Third Proportional to 17,936.44 and 38,982.09

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Solution

The third proportional to 17,936.44 and 38,982.09 is: 84,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,936.44 : 38,982.09 = 38,982.09 : x
  2. Step 2: Convert to fraction form
    17,936.44/38,982.09 = 38,982.09/x
  3. Step 3: Cross multiply
    17,936.44x = 38,982.09 × 38,982.09
  4. Step 4: Simplify right side
    17,936.44x = 1,519,603,633.13
  5. Step 5: Solve for x
    x = 1,519,603,633.13/17,936.44
  6. Step 6: Final answer
    x = 84,721.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.