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Finding the Third Proportional to 23,846.91 and 51,794.44

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Solution

The third proportional to 23,846.91 and 51,794.44 is: 112,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.91 : 51,794.44 = 51,794.44 : x
  2. Step 2: Convert to fraction form
    23,846.91/51,794.44 = 51,794.44/x
  3. Step 3: Cross multiply
    23,846.91x = 51,794.44 × 51,794.44
  4. Step 4: Simplify right side
    23,846.91x = 2,682,663,755.94
  5. Step 5: Solve for x
    x = 2,682,663,755.94/23,846.91
  6. Step 6: Final answer
    x = 112,495.25

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Why These Related Problems?

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