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Finding the Third Proportional to 20,023.88 and 41,262.75

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Solution

The third proportional to 20,023.88 and 41,262.75 is: 85,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.88 : 41,262.75 = 41,262.75 : x
  2. Step 2: Convert to fraction form
    20,023.88/41,262.75 = 41,262.75/x
  3. Step 3: Cross multiply
    20,023.88x = 41,262.75 × 41,262.75
  4. Step 4: Simplify right side
    20,023.88x = 1,702,614,537.56
  5. Step 5: Solve for x
    x = 1,702,614,537.56/20,023.88
  6. Step 6: Final answer
    x = 85,029.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.