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Finding the Third Proportional to 4,177 and 5,626

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Solution

The third proportional to 4,177 and 5,626 is: 7,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177 : 5,626 = 5,626 : x
  2. Step 2: Convert to fraction form
    4,177/5,626 = 5,626/x
  3. Step 3: Cross multiply
    4,177x = 5,626 × 5,626
  4. Step 4: Simplify right side
    4,177x = 31,651,876
  5. Step 5: Solve for x
    x = 31,651,876/4,177
  6. Step 6: Final answer
    x = 7,577.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.