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Finding the Third Proportional to 1,847.81 and 3,934.69

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Solution

The third proportional to 1,847.81 and 3,934.69 is: 8,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.81 : 3,934.69 = 3,934.69 : x
  2. Step 2: Convert to fraction form
    1,847.81/3,934.69 = 3,934.69/x
  3. Step 3: Cross multiply
    1,847.81x = 3,934.69 × 3,934.69
  4. Step 4: Simplify right side
    1,847.81x = 15,481,765.72
  5. Step 5: Solve for x
    x = 15,481,765.72/1,847.81
  6. Step 6: Final answer
    x = 8,378.43

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.