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Finding the Third Proportional to 43,836.82 and 66,447.21

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Solution

The third proportional to 43,836.82 and 66,447.21 is: 100,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,836.82 : 66,447.21 = 66,447.21 : x
  2. Step 2: Convert to fraction form
    43,836.82/66,447.21 = 66,447.21/x
  3. Step 3: Cross multiply
    43,836.82x = 66,447.21 × 66,447.21
  4. Step 4: Simplify right side
    43,836.82x = 4,415,231,841.37
  5. Step 5: Solve for x
    x = 4,415,231,841.37/43,836.82
  6. Step 6: Final answer
    x = 100,719.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.