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Finding the Third Proportional to 5,958.19 and 11,766.56

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Solution

The third proportional to 5,958.19 and 11,766.56 is: 23,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.19 : 11,766.56 = 11,766.56 : x
  2. Step 2: Convert to fraction form
    5,958.19/11,766.56 = 11,766.56/x
  3. Step 3: Cross multiply
    5,958.19x = 11,766.56 × 11,766.56
  4. Step 4: Simplify right side
    5,958.19x = 138,451,993.07
  5. Step 5: Solve for x
    x = 138,451,993.07/5,958.19
  6. Step 6: Final answer
    x = 23,237.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.