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Finding the Third Proportional to 5,330.81 and 11,481.75

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Solution

The third proportional to 5,330.81 and 11,481.75 is: 24,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.81 : 11,481.75 = 11,481.75 : x
  2. Step 2: Convert to fraction form
    5,330.81/11,481.75 = 11,481.75/x
  3. Step 3: Cross multiply
    5,330.81x = 11,481.75 × 11,481.75
  4. Step 4: Simplify right side
    5,330.81x = 131,830,583.06
  5. Step 5: Solve for x
    x = 131,830,583.06/5,330.81
  6. Step 6: Final answer
    x = 24,729.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.