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Finding the Third Proportional to 27,766 and 57,794

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Solution

The third proportional to 27,766 and 57,794 is: 120,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766 : 57,794 = 57,794 : x
  2. Step 2: Convert to fraction form
    27,766/57,794 = 57,794/x
  3. Step 3: Cross multiply
    27,766x = 57,794 × 57,794
  4. Step 4: Simplify right side
    27,766x = 3,340,146,436
  5. Step 5: Solve for x
    x = 3,340,146,436/27,766
  6. Step 6: Final answer
    x = 120,296.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.