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Finding the Third Proportional to 4,027 and 4,824

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Solution

The third proportional to 4,027 and 4,824 is: 5,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027 : 4,824 = 4,824 : x
  2. Step 2: Convert to fraction form
    4,027/4,824 = 4,824/x
  3. Step 3: Cross multiply
    4,027x = 4,824 × 4,824
  4. Step 4: Simplify right side
    4,027x = 23,270,976
  5. Step 5: Solve for x
    x = 23,270,976/4,027
  6. Step 6: Final answer
    x = 5,778.74

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.