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Finding the Third Proportional to 5,104.69 and 11,044.69

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Solution

The third proportional to 5,104.69 and 11,044.69 is: 23,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.69 : 11,044.69 = 11,044.69 : x
  2. Step 2: Convert to fraction form
    5,104.69/11,044.69 = 11,044.69/x
  3. Step 3: Cross multiply
    5,104.69x = 11,044.69 × 11,044.69
  4. Step 4: Simplify right side
    5,104.69x = 121,985,121.97
  5. Step 5: Solve for x
    x = 121,985,121.97/5,104.69
  6. Step 6: Final answer
    x = 23,896.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.