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Finding the Third Proportional to 5,140.97 and 11,211.54

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Solution

The third proportional to 5,140.97 and 11,211.54 is: 24,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.97 : 11,211.54 = 11,211.54 : x
  2. Step 2: Convert to fraction form
    5,140.97/11,211.54 = 11,211.54/x
  3. Step 3: Cross multiply
    5,140.97x = 11,211.54 × 11,211.54
  4. Step 4: Simplify right side
    5,140.97x = 125,698,608.15
  5. Step 5: Solve for x
    x = 125,698,608.15/5,140.97
  6. Step 6: Final answer
    x = 24,450.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.