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Finding the Third Proportional to 3,951.75 and 5,917.31

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Solution

The third proportional to 3,951.75 and 5,917.31 is: 8,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.75 : 5,917.31 = 5,917.31 : x
  2. Step 2: Convert to fraction form
    3,951.75/5,917.31 = 5,917.31/x
  3. Step 3: Cross multiply
    3,951.75x = 5,917.31 × 5,917.31
  4. Step 4: Simplify right side
    3,951.75x = 35,014,587.22
  5. Step 5: Solve for x
    x = 35,014,587.22/3,951.75
  6. Step 6: Final answer
    x = 8,860.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.