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Finding the Third Proportional to 11,481.75 and 25,116.33

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Solution

The third proportional to 11,481.75 and 25,116.33 is: 54,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.75 : 25,116.33 = 25,116.33 : x
  2. Step 2: Convert to fraction form
    11,481.75/25,116.33 = 25,116.33/x
  3. Step 3: Cross multiply
    11,481.75x = 25,116.33 × 25,116.33
  4. Step 4: Simplify right side
    11,481.75x = 630,829,938.48
  5. Step 5: Solve for x
    x = 630,829,938.48/11,481.75
  6. Step 6: Final answer
    x = 54,941.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.