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Finding the Third Proportional to 24,940.69 and 54,731.81

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Solution

The third proportional to 24,940.69 and 54,731.81 is: 120,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,940.69 : 54,731.81 = 54,731.81 : x
  2. Step 2: Convert to fraction form
    24,940.69/54,731.81 = 54,731.81/x
  3. Step 3: Cross multiply
    24,940.69x = 54,731.81 × 54,731.81
  4. Step 4: Simplify right side
    24,940.69x = 2,995,571,299.54
  5. Step 5: Solve for x
    x = 2,995,571,299.54/24,940.69
  6. Step 6: Final answer
    x = 120,107.81

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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.