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Finding the Third Proportional to 2,458.69 and 5,194.97

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Solution

The third proportional to 2,458.69 and 5,194.97 is: 10,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.69 : 5,194.97 = 5,194.97 : x
  2. Step 2: Convert to fraction form
    2,458.69/5,194.97 = 5,194.97/x
  3. Step 3: Cross multiply
    2,458.69x = 5,194.97 × 5,194.97
  4. Step 4: Simplify right side
    2,458.69x = 26,987,700.31
  5. Step 5: Solve for x
    x = 26,987,700.31/2,458.69
  6. Step 6: Final answer
    x = 10,976.47

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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.