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Finding the Third Proportional to 5,033.25 and 11,865.38

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Solution

The third proportional to 5,033.25 and 11,865.38 is: 27,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.25 : 11,865.38 = 11,865.38 : x
  2. Step 2: Convert to fraction form
    5,033.25/11,865.38 = 11,865.38/x
  3. Step 3: Cross multiply
    5,033.25x = 11,865.38 × 11,865.38
  4. Step 4: Simplify right side
    5,033.25x = 140,787,123.89
  5. Step 5: Solve for x
    x = 140,787,123.89/5,033.25
  6. Step 6: Final answer
    x = 27,971.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.