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Finding the Third Proportional to 30,268.69 and 41,550.47

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Solution

The third proportional to 30,268.69 and 41,550.47 is: 57,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.69 : 41,550.47 = 41,550.47 : x
  2. Step 2: Convert to fraction form
    30,268.69/41,550.47 = 41,550.47/x
  3. Step 3: Cross multiply
    30,268.69x = 41,550.47 × 41,550.47
  4. Step 4: Simplify right side
    30,268.69x = 1,726,441,453.34
  5. Step 5: Solve for x
    x = 1,726,441,453.34/30,268.69
  6. Step 6: Final answer
    x = 57,037.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.