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Finding the Third Proportional to 20,422.69 and 44,238.09

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Solution

The third proportional to 20,422.69 and 44,238.09 is: 95,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.69 : 44,238.09 = 44,238.09 : x
  2. Step 2: Convert to fraction form
    20,422.69/44,238.09 = 44,238.09/x
  3. Step 3: Cross multiply
    20,422.69x = 44,238.09 × 44,238.09
  4. Step 4: Simplify right side
    20,422.69x = 1,957,008,938.63
  5. Step 5: Solve for x
    x = 1,957,008,938.63/20,422.69
  6. Step 6: Final answer
    x = 95,825.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.