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Finding the Third Proportional to 32,366.25 and 43,729.31

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Solution

The third proportional to 32,366.25 and 43,729.31 is: 59,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,366.25 : 43,729.31 = 43,729.31 : x
  2. Step 2: Convert to fraction form
    32,366.25/43,729.31 = 43,729.31/x
  3. Step 3: Cross multiply
    32,366.25x = 43,729.31 × 43,729.31
  4. Step 4: Simplify right side
    32,366.25x = 1,912,252,771.72
  5. Step 5: Solve for x
    x = 1,912,252,771.72/32,366.25
  6. Step 6: Final answer
    x = 59,081.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.