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Finding the Third Proportional to 27,274 and 57,843

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Solution

The third proportional to 27,274 and 57,843 is: 122,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,274 : 57,843 = 57,843 : x
  2. Step 2: Convert to fraction form
    27,274/57,843 = 57,843/x
  3. Step 3: Cross multiply
    27,274x = 57,843 × 57,843
  4. Step 4: Simplify right side
    27,274x = 3,345,812,649
  5. Step 5: Solve for x
    x = 3,345,812,649/27,274
  6. Step 6: Final answer
    x = 122,674.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.