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Finding the Third Proportional to 27,266 and 57,022

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Solution

The third proportional to 27,266 and 57,022 is: 119,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266 : 57,022 = 57,022 : x
  2. Step 2: Convert to fraction form
    27,266/57,022 = 57,022/x
  3. Step 3: Cross multiply
    27,266x = 57,022 × 57,022
  4. Step 4: Simplify right side
    27,266x = 3,251,508,484
  5. Step 5: Solve for x
    x = 3,251,508,484/27,266
  6. Step 6: Final answer
    x = 119,251.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.