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Finding the Third Proportional to 18,338 and 27,546

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Solution

The third proportional to 18,338 and 27,546 is: 41,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,338 : 27,546 = 27,546 : x
  2. Step 2: Convert to fraction form
    18,338/27,546 = 27,546/x
  3. Step 3: Cross multiply
    18,338x = 27,546 × 27,546
  4. Step 4: Simplify right side
    18,338x = 758,782,116
  5. Step 5: Solve for x
    x = 758,782,116/18,338
  6. Step 6: Final answer
    x = 41,377.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.