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Finding the Third Proportional to 32,576.24 and 71,380.30

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Solution

The third proportional to 32,576.24 and 71,380.30 is: 156,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.24 : 71,380.30 = 71,380.30 : x
  2. Step 2: Convert to fraction form
    32,576.24/71,380.30 = 71,380.30/x
  3. Step 3: Cross multiply
    32,576.24x = 71,380.30 × 71,380.30
  4. Step 4: Simplify right side
    32,576.24x = 5,095,147,339.62
  5. Step 5: Solve for x
    x = 5,095,147,339.62/32,576.24
  6. Step 6: Final answer
    x = 156,406.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.