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Finding the Third Proportional to 32,576.50 and 50,812

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Solution

The third proportional to 32,576.50 and 50,812 is: 79,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.50 : 50,812 = 50,812 : x
  2. Step 2: Convert to fraction form
    32,576.50/50,812 = 50,812/x
  3. Step 3: Cross multiply
    32,576.50x = 50,812 × 50,812
  4. Step 4: Simplify right side
    32,576.50x = 2,581,859,344
  5. Step 5: Solve for x
    x = 2,581,859,344/32,576.50
  6. Step 6: Final answer
    x = 79,255.27

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.