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Finding the Third Proportional to 27,927 and 41,339.25

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Solution

The third proportional to 27,927 and 41,339.25 is: 61,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927 : 41,339.25 = 41,339.25 : x
  2. Step 2: Convert to fraction form
    27,927/41,339.25 = 41,339.25/x
  3. Step 3: Cross multiply
    27,927x = 41,339.25 × 41,339.25
  4. Step 4: Simplify right side
    27,927x = 1,708,933,590.56
  5. Step 5: Solve for x
    x = 1,708,933,590.56/27,927
  6. Step 6: Final answer
    x = 61,192.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.