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Finding the Third Proportional to 18,079 and 27,022

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Solution

The third proportional to 18,079 and 27,022 is: 40,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,079 : 27,022 = 27,022 : x
  2. Step 2: Convert to fraction form
    18,079/27,022 = 27,022/x
  3. Step 3: Cross multiply
    18,079x = 27,022 × 27,022
  4. Step 4: Simplify right side
    18,079x = 730,188,484
  5. Step 5: Solve for x
    x = 730,188,484/18,079
  6. Step 6: Final answer
    x = 40,388.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.