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Finding the Third Proportional to 11,518.03 and 24,265.41

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Solution

The third proportional to 11,518.03 and 24,265.41 is: 51,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.03 : 24,265.41 = 24,265.41 : x
  2. Step 2: Convert to fraction form
    11,518.03/24,265.41 = 24,265.41/x
  3. Step 3: Cross multiply
    11,518.03x = 24,265.41 × 24,265.41
  4. Step 4: Simplify right side
    11,518.03x = 588,809,940.48
  5. Step 5: Solve for x
    x = 588,809,940.48/11,518.03
  6. Step 6: Final answer
    x = 51,120.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.