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Finding the Third Proportional to 2,711.81 and 5,789.81

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Solution

The third proportional to 2,711.81 and 5,789.81 is: 12,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.81 : 5,789.81 = 5,789.81 : x
  2. Step 2: Convert to fraction form
    2,711.81/5,789.81 = 5,789.81/x
  3. Step 3: Cross multiply
    2,711.81x = 5,789.81 × 5,789.81
  4. Step 4: Simplify right side
    2,711.81x = 33,521,928.79
  5. Step 5: Solve for x
    x = 33,521,928.79/2,711.81
  6. Step 6: Final answer
    x = 12,361.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.