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Finding the Third Proportional to 20,676.75 and 25,212.75

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Solution

The third proportional to 20,676.75 and 25,212.75 is: 30,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.75 : 25,212.75 = 25,212.75 : x
  2. Step 2: Convert to fraction form
    20,676.75/25,212.75 = 25,212.75/x
  3. Step 3: Cross multiply
    20,676.75x = 25,212.75 × 25,212.75
  4. Step 4: Simplify right side
    20,676.75x = 635,682,762.56
  5. Step 5: Solve for x
    x = 635,682,762.56/20,676.75
  6. Step 6: Final answer
    x = 30,743.84

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.