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Finding the Third Proportional to 3,099.94 and 6,813.56

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Solution

The third proportional to 3,099.94 and 6,813.56 is: 14,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.94 : 6,813.56 = 6,813.56 : x
  2. Step 2: Convert to fraction form
    3,099.94/6,813.56 = 6,813.56/x
  3. Step 3: Cross multiply
    3,099.94x = 6,813.56 × 6,813.56
  4. Step 4: Simplify right side
    3,099.94x = 46,424,633.94
  5. Step 5: Solve for x
    x = 46,424,633.94/3,099.94
  6. Step 6: Final answer
    x = 14,975.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.