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Finding the Third Proportional to 32,243.25 and 43,002.75

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Solution

The third proportional to 32,243.25 and 43,002.75 is: 57,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,243.25 : 43,002.75 = 43,002.75 : x
  2. Step 2: Convert to fraction form
    32,243.25/43,002.75 = 43,002.75/x
  3. Step 3: Cross multiply
    32,243.25x = 43,002.75 × 43,002.75
  4. Step 4: Simplify right side
    32,243.25x = 1,849,236,507.56
  5. Step 5: Solve for x
    x = 1,849,236,507.56/32,243.25
  6. Step 6: Final answer
    x = 57,352.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.