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Finding the Third Proportional to 17,982.66 and 27,223.83

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Solution

The third proportional to 17,982.66 and 27,223.83 is: 41,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.66 : 27,223.83 = 27,223.83 : x
  2. Step 2: Convert to fraction form
    17,982.66/27,223.83 = 27,223.83/x
  3. Step 3: Cross multiply
    17,982.66x = 27,223.83 × 27,223.83
  4. Step 4: Simplify right side
    17,982.66x = 741,136,817.78
  5. Step 5: Solve for x
    x = 741,136,817.78/17,982.66
  6. Step 6: Final answer
    x = 41,213.98

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