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Finding the Third Proportional to 27,105 and 58,794

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Solution

The third proportional to 27,105 and 58,794 is: 127,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105 : 58,794 = 58,794 : x
  2. Step 2: Convert to fraction form
    27,105/58,794 = 58,794/x
  3. Step 3: Cross multiply
    27,105x = 58,794 × 58,794
  4. Step 4: Simplify right side
    27,105x = 3,456,734,436
  5. Step 5: Solve for x
    x = 3,456,734,436/27,105
  6. Step 6: Final answer
    x = 127,531.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.