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Finding the Third Proportional to 11,481.75 and 18,276.26

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Solution

The third proportional to 11,481.75 and 18,276.26 is: 29,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.75 : 18,276.26 = 18,276.26 : x
  2. Step 2: Convert to fraction form
    11,481.75/18,276.26 = 18,276.26/x
  3. Step 3: Cross multiply
    11,481.75x = 18,276.26 × 18,276.26
  4. Step 4: Simplify right side
    11,481.75x = 334,021,599.63
  5. Step 5: Solve for x
    x = 334,021,599.63/11,481.75
  6. Step 6: Final answer
    x = 29,091.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.