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Finding the Third Proportional to 20,221.21 and 42,057.04

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Solution

The third proportional to 20,221.21 and 42,057.04 is: 87,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.21 : 42,057.04 = 42,057.04 : x
  2. Step 2: Convert to fraction form
    20,221.21/42,057.04 = 42,057.04/x
  3. Step 3: Cross multiply
    20,221.21x = 42,057.04 × 42,057.04
  4. Step 4: Simplify right side
    20,221.21x = 1,768,794,206.13
  5. Step 5: Solve for x
    x = 1,768,794,206.13/20,221.21
  6. Step 6: Final answer
    x = 87,472.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.