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Finding the Third Proportional to 23,849.44 and 52,027.31

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Solution

The third proportional to 23,849.44 and 52,027.31 is: 113,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.44 : 52,027.31 = 52,027.31 : x
  2. Step 2: Convert to fraction form
    23,849.44/52,027.31 = 52,027.31/x
  3. Step 3: Cross multiply
    23,849.44x = 52,027.31 × 52,027.31
  4. Step 4: Simplify right side
    23,849.44x = 2,706,841,245.97
  5. Step 5: Solve for x
    x = 2,706,841,245.97/23,849.44
  6. Step 6: Final answer
    x = 113,497.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.