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Finding the Third Proportional to 10,279.69 and 21,367.41

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Solution

The third proportional to 10,279.69 and 21,367.41 is: 44,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.69 : 21,367.41 = 21,367.41 : x
  2. Step 2: Convert to fraction form
    10,279.69/21,367.41 = 21,367.41/x
  3. Step 3: Cross multiply
    10,279.69x = 21,367.41 × 21,367.41
  4. Step 4: Simplify right side
    10,279.69x = 456,566,049.85
  5. Step 5: Solve for x
    x = 456,566,049.85/10,279.69
  6. Step 6: Final answer
    x = 44,414.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.