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Finding the Third Proportional to 27,275 and 58,843

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Solution

The third proportional to 27,275 and 58,843 is: 126,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,275 : 58,843 = 58,843 : x
  2. Step 2: Convert to fraction form
    27,275/58,843 = 58,843/x
  3. Step 3: Cross multiply
    27,275x = 58,843 × 58,843
  4. Step 4: Simplify right side
    27,275x = 3,462,498,649
  5. Step 5: Solve for x
    x = 3,462,498,649/27,275
  6. Step 6: Final answer
    x = 126,947.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.