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Finding the Third Proportional to 2,683.69 and 5,443.17

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Solution

The third proportional to 2,683.69 and 5,443.17 is: 11,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.69 : 5,443.17 = 5,443.17 : x
  2. Step 2: Convert to fraction form
    2,683.69/5,443.17 = 5,443.17/x
  3. Step 3: Cross multiply
    2,683.69x = 5,443.17 × 5,443.17
  4. Step 4: Simplify right side
    2,683.69x = 29,628,120.06
  5. Step 5: Solve for x
    x = 29,628,120.06/2,683.69
  6. Step 6: Final answer
    x = 11,040.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.