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Finding the Third Proportional to 2,711.81 and 3,964.78

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Solution

The third proportional to 2,711.81 and 3,964.78 is: 5,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.81 : 3,964.78 = 3,964.78 : x
  2. Step 2: Convert to fraction form
    2,711.81/3,964.78 = 3,964.78/x
  3. Step 3: Cross multiply
    2,711.81x = 3,964.78 × 3,964.78
  4. Step 4: Simplify right side
    2,711.81x = 15,719,490.36
  5. Step 5: Solve for x
    x = 15,719,490.36/2,711.81
  6. Step 6: Final answer
    x = 5,796.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.