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Finding the Third Proportional to 27,298 and 58,794

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Solution

The third proportional to 27,298 and 58,794 is: 126,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,298 : 58,794 = 58,794 : x
  2. Step 2: Convert to fraction form
    27,298/58,794 = 58,794/x
  3. Step 3: Cross multiply
    27,298x = 58,794 × 58,794
  4. Step 4: Simplify right side
    27,298x = 3,456,734,436
  5. Step 5: Solve for x
    x = 3,456,734,436/27,298
  6. Step 6: Final answer
    x = 126,629.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.