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Finding the Third Proportional to 27,844 and 57,992

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Solution

The third proportional to 27,844 and 57,992 is: 120,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844 : 57,992 = 57,992 : x
  2. Step 2: Convert to fraction form
    27,844/57,992 = 57,992/x
  3. Step 3: Cross multiply
    27,844x = 57,992 × 57,992
  4. Step 4: Simplify right side
    27,844x = 3,363,072,064
  5. Step 5: Solve for x
    x = 3,363,072,064/27,844
  6. Step 6: Final answer
    x = 120,782.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.