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Finding the Third Proportional to 11,629.12 and 25,227.39

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Solution

The third proportional to 11,629.12 and 25,227.39 is: 54,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.12 : 25,227.39 = 25,227.39 : x
  2. Step 2: Convert to fraction form
    11,629.12/25,227.39 = 25,227.39/x
  3. Step 3: Cross multiply
    11,629.12x = 25,227.39 × 25,227.39
  4. Step 4: Simplify right side
    11,629.12x = 636,421,040.66
  5. Step 5: Solve for x
    x = 636,421,040.66/11,629.12
  6. Step 6: Final answer
    x = 54,726.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.