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Finding the Third Proportional to 32,885 and 71,305

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Solution

The third proportional to 32,885 and 71,305 is: 154,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,885 : 71,305 = 71,305 : x
  2. Step 2: Convert to fraction form
    32,885/71,305 = 71,305/x
  3. Step 3: Cross multiply
    32,885x = 71,305 × 71,305
  4. Step 4: Simplify right side
    32,885x = 5,084,403,025
  5. Step 5: Solve for x
    x = 5,084,403,025/32,885
  6. Step 6: Final answer
    x = 154,611.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.