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Finding the Third Proportional to 11,524.78 and 25,144.03

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Solution

The third proportional to 11,524.78 and 25,144.03 is: 54,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.78 : 25,144.03 = 25,144.03 : x
  2. Step 2: Convert to fraction form
    11,524.78/25,144.03 = 25,144.03/x
  3. Step 3: Cross multiply
    11,524.78x = 25,144.03 × 25,144.03
  4. Step 4: Simplify right side
    11,524.78x = 632,222,307.50
  5. Step 5: Solve for x
    x = 632,222,307.50/11,524.78
  6. Step 6: Final answer
    x = 54,857.64

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