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Finding the Third Proportional to 27,855 and 58,626

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Solution

The third proportional to 27,855 and 58,626 is: 123,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855 : 58,626 = 58,626 : x
  2. Step 2: Convert to fraction form
    27,855/58,626 = 58,626/x
  3. Step 3: Cross multiply
    27,855x = 58,626 × 58,626
  4. Step 4: Simplify right side
    27,855x = 3,437,007,876
  5. Step 5: Solve for x
    x = 3,437,007,876/27,855
  6. Step 6: Final answer
    x = 123,389.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.