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Finding the Third Proportional to 24,940.69 and 55,423.69

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Solution

The third proportional to 24,940.69 and 55,423.69 is: 123,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,940.69 : 55,423.69 = 55,423.69 : x
  2. Step 2: Convert to fraction form
    24,940.69/55,423.69 = 55,423.69/x
  3. Step 3: Cross multiply
    24,940.69x = 55,423.69 × 55,423.69
  4. Step 4: Simplify right side
    24,940.69x = 3,071,785,136.10
  5. Step 5: Solve for x
    x = 3,071,785,136.10/24,940.69
  6. Step 6: Final answer
    x = 123,163.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.