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Finding the Third Proportional to 11,568.94 and 24,418.69

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Solution

The third proportional to 11,568.94 and 24,418.69 is: 51,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.94 : 24,418.69 = 24,418.69 : x
  2. Step 2: Convert to fraction form
    11,568.94/24,418.69 = 24,418.69/x
  3. Step 3: Cross multiply
    11,568.94x = 24,418.69 × 24,418.69
  4. Step 4: Simplify right side
    11,568.94x = 596,272,299.22
  5. Step 5: Solve for x
    x = 596,272,299.22/11,568.94
  6. Step 6: Final answer
    x = 51,540.80

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Why These Related Problems?

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