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Finding the Third Proportional to 21,844.69 and 43,107.19

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Solution

The third proportional to 21,844.69 and 43,107.19 is: 85,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844.69 : 43,107.19 = 43,107.19 : x
  2. Step 2: Convert to fraction form
    21,844.69/43,107.19 = 43,107.19/x
  3. Step 3: Cross multiply
    21,844.69x = 43,107.19 × 43,107.19
  4. Step 4: Simplify right side
    21,844.69x = 1,858,229,614.16
  5. Step 5: Solve for x
    x = 1,858,229,614.16/21,844.69
  6. Step 6: Final answer
    x = 85,065.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.