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Finding the Third Proportional to 33,327.43 and 47,157.31

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Solution

The third proportional to 33,327.43 and 47,157.31 is: 66,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,327.43 : 47,157.31 = 47,157.31 : x
  2. Step 2: Convert to fraction form
    33,327.43/47,157.31 = 47,157.31/x
  3. Step 3: Cross multiply
    33,327.43x = 47,157.31 × 47,157.31
  4. Step 4: Simplify right side
    33,327.43x = 2,223,811,523.55
  5. Step 5: Solve for x
    x = 2,223,811,523.55/33,327.43
  6. Step 6: Final answer
    x = 66,726.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.