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Finding the Third Proportional to 22,231.69 and 47,728.69

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Solution

The third proportional to 22,231.69 and 47,728.69 is: 102,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.69 : 47,728.69 = 47,728.69 : x
  2. Step 2: Convert to fraction form
    22,231.69/47,728.69 = 47,728.69/x
  3. Step 3: Cross multiply
    22,231.69x = 47,728.69 × 47,728.69
  4. Step 4: Simplify right side
    22,231.69x = 2,278,027,610.47
  5. Step 5: Solve for x
    x = 2,278,027,610.47/22,231.69
  6. Step 6: Final answer
    x = 102,467.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.