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Finding the Third Proportional to 40,779 and 57,425

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Solution

The third proportional to 40,779 and 57,425 is: 80,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,779 : 57,425 = 57,425 : x
  2. Step 2: Convert to fraction form
    40,779/57,425 = 57,425/x
  3. Step 3: Cross multiply
    40,779x = 57,425 × 57,425
  4. Step 4: Simplify right side
    40,779x = 3,297,630,625
  5. Step 5: Solve for x
    x = 3,297,630,625/40,779
  6. Step 6: Final answer
    x = 80,865.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.