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Finding the Third Proportional to 32,682 and 69,204

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Solution

The third proportional to 32,682 and 69,204 is: 146,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682 : 69,204 = 69,204 : x
  2. Step 2: Convert to fraction form
    32,682/69,204 = 69,204/x
  3. Step 3: Cross multiply
    32,682x = 69,204 × 69,204
  4. Step 4: Simplify right side
    32,682x = 4,789,193,616
  5. Step 5: Solve for x
    x = 4,789,193,616/32,682
  6. Step 6: Final answer
    x = 146,539.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.