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Finding the Third Proportional to 4,012 and 5,170

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Solution

The third proportional to 4,012 and 5,170 is: 6,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012 : 5,170 = 5,170 : x
  2. Step 2: Convert to fraction form
    4,012/5,170 = 5,170/x
  3. Step 3: Cross multiply
    4,012x = 5,170 × 5,170
  4. Step 4: Simplify right side
    4,012x = 26,728,900
  5. Step 5: Solve for x
    x = 26,728,900/4,012
  6. Step 6: Final answer
    x = 6,662.24

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.