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Finding the Third Proportional to 3,059.44 and 6,382.41

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Solution

The third proportional to 3,059.44 and 6,382.41 is: 13,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.44 : 6,382.41 = 6,382.41 : x
  2. Step 2: Convert to fraction form
    3,059.44/6,382.41 = 6,382.41/x
  3. Step 3: Cross multiply
    3,059.44x = 6,382.41 × 6,382.41
  4. Step 4: Simplify right side
    3,059.44x = 40,735,109.54
  5. Step 5: Solve for x
    x = 40,735,109.54/3,059.44
  6. Step 6: Final answer
    x = 13,314.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.