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Finding the Third Proportional to 49,827.75 and 107,481.75

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Solution

The third proportional to 49,827.75 and 107,481.75 is: 231,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,827.75 : 107,481.75 = 107,481.75 : x
  2. Step 2: Convert to fraction form
    49,827.75/107,481.75 = 107,481.75/x
  3. Step 3: Cross multiply
    49,827.75x = 107,481.75 × 107,481.75
  4. Step 4: Simplify right side
    49,827.75x = 11,552,326,583.06
  5. Step 5: Solve for x
    x = 11,552,326,583.06/49,827.75
  6. Step 6: Final answer
    x = 231,845.24

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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.