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Finding the Third Proportional to 21,195.11 and 46,550.64

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Solution

The third proportional to 21,195.11 and 46,550.64 is: 102,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.11 : 46,550.64 = 46,550.64 : x
  2. Step 2: Convert to fraction form
    21,195.11/46,550.64 = 46,550.64/x
  3. Step 3: Cross multiply
    21,195.11x = 46,550.64 × 46,550.64
  4. Step 4: Simplify right side
    21,195.11x = 2,166,961,778.92
  5. Step 5: Solve for x
    x = 2,166,961,778.92/21,195.11
  6. Step 6: Final answer
    x = 102,238.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.