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Finding the Third Proportional to 32,529 and 66,474

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Solution

The third proportional to 32,529 and 66,474 is: 135,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529 : 66,474 = 66,474 : x
  2. Step 2: Convert to fraction form
    32,529/66,474 = 66,474/x
  3. Step 3: Cross multiply
    32,529x = 66,474 × 66,474
  4. Step 4: Simplify right side
    32,529x = 4,418,792,676
  5. Step 5: Solve for x
    x = 4,418,792,676/32,529
  6. Step 6: Final answer
    x = 135,841.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.