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Finding the Third Proportional to 20,174.22 and 44,329.46

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Solution

The third proportional to 20,174.22 and 44,329.46 is: 97,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.22 : 44,329.46 = 44,329.46 : x
  2. Step 2: Convert to fraction form
    20,174.22/44,329.46 = 44,329.46/x
  3. Step 3: Cross multiply
    20,174.22x = 44,329.46 × 44,329.46
  4. Step 4: Simplify right side
    20,174.22x = 1,965,101,453.33
  5. Step 5: Solve for x
    x = 1,965,101,453.33/20,174.22
  6. Step 6: Final answer
    x = 97,406.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.