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Finding the Third Proportional to 3,813.89 and 8,037.84

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Solution

The third proportional to 3,813.89 and 8,037.84 is: 16,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.89 : 8,037.84 = 8,037.84 : x
  2. Step 2: Convert to fraction form
    3,813.89/8,037.84 = 8,037.84/x
  3. Step 3: Cross multiply
    3,813.89x = 8,037.84 × 8,037.84
  4. Step 4: Simplify right side
    3,813.89x = 64,606,932.15
  5. Step 5: Solve for x
    x = 64,606,932.15/3,813.89
  6. Step 6: Final answer
    x = 16,939.90

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.