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Finding the Third Proportional to 26,016 and 57,344

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Solution

The third proportional to 26,016 and 57,344 is: 126,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016 : 57,344 = 57,344 : x
  2. Step 2: Convert to fraction form
    26,016/57,344 = 57,344/x
  3. Step 3: Cross multiply
    26,016x = 57,344 × 57,344
  4. Step 4: Simplify right side
    26,016x = 3,288,334,336
  5. Step 5: Solve for x
    x = 3,288,334,336/26,016
  6. Step 6: Final answer
    x = 126,396.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.