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Finding the Third Proportional to 16,782 and 27,174.75

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Solution

The third proportional to 16,782 and 27,174.75 is: 44,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782 : 27,174.75 = 27,174.75 : x
  2. Step 2: Convert to fraction form
    16,782/27,174.75 = 27,174.75/x
  3. Step 3: Cross multiply
    16,782x = 27,174.75 × 27,174.75
  4. Step 4: Simplify right side
    16,782x = 738,467,037.56
  5. Step 5: Solve for x
    x = 738,467,037.56/16,782
  6. Step 6: Final answer
    x = 44,003.52

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.