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Finding the Third Proportional to 20,779 and 44,477

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Solution

The third proportional to 20,779 and 44,477 is: 95,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779 : 44,477 = 44,477 : x
  2. Step 2: Convert to fraction form
    20,779/44,477 = 44,477/x
  3. Step 3: Cross multiply
    20,779x = 44,477 × 44,477
  4. Step 4: Simplify right side
    20,779x = 1,978,203,529
  5. Step 5: Solve for x
    x = 1,978,203,529/20,779
  6. Step 6: Final answer
    x = 95,202.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.