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Finding the Third Proportional to 33,594.75 and 47,086.31

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Solution

The third proportional to 33,594.75 and 47,086.31 is: 65,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,594.75 : 47,086.31 = 47,086.31 : x
  2. Step 2: Convert to fraction form
    33,594.75/47,086.31 = 47,086.31/x
  3. Step 3: Cross multiply
    33,594.75x = 47,086.31 × 47,086.31
  4. Step 4: Simplify right side
    33,594.75x = 2,217,120,824.85
  5. Step 5: Solve for x
    x = 2,217,120,824.85/33,594.75
  6. Step 6: Final answer
    x = 65,996.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.