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Finding the Third Proportional to 38,449.69 and 43,917.19

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Solution

The third proportional to 38,449.69 and 43,917.19 is: 50,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,449.69 : 43,917.19 = 43,917.19 : x
  2. Step 2: Convert to fraction form
    38,449.69/43,917.19 = 43,917.19/x
  3. Step 3: Cross multiply
    38,449.69x = 43,917.19 × 43,917.19
  4. Step 4: Simplify right side
    38,449.69x = 1,928,719,357.91
  5. Step 5: Solve for x
    x = 1,928,719,357.91/38,449.69
  6. Step 6: Final answer
    x = 50,162.16

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.