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Finding the Third Proportional to 7,584.05 and 11,481.96

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Solution

The third proportional to 7,584.05 and 11,481.96 is: 17,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.05 : 11,481.96 = 11,481.96 : x
  2. Step 2: Convert to fraction form
    7,584.05/11,481.96 = 11,481.96/x
  3. Step 3: Cross multiply
    7,584.05x = 11,481.96 × 11,481.96
  4. Step 4: Simplify right side
    7,584.05x = 131,835,426.97
  5. Step 5: Solve for x
    x = 131,835,426.97/7,584.05
  6. Step 6: Final answer
    x = 17,383.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.