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Finding the Third Proportional to 32,163.50 and 68,941

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Solution

The third proportional to 32,163.50 and 68,941 is: 147,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.50 : 68,941 = 68,941 : x
  2. Step 2: Convert to fraction form
    32,163.50/68,941 = 68,941/x
  3. Step 3: Cross multiply
    32,163.50x = 68,941 × 68,941
  4. Step 4: Simplify right side
    32,163.50x = 4,752,861,481
  5. Step 5: Solve for x
    x = 4,752,861,481/32,163.50
  6. Step 6: Final answer
    x = 147,771.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.