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Finding the Third Proportional to 4,019 and 8,134

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Solution

The third proportional to 4,019 and 8,134 is: 16,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019 : 8,134 = 8,134 : x
  2. Step 2: Convert to fraction form
    4,019/8,134 = 8,134/x
  3. Step 3: Cross multiply
    4,019x = 8,134 × 8,134
  4. Step 4: Simplify right side
    4,019x = 66,161,956
  5. Step 5: Solve for x
    x = 66,161,956/4,019
  6. Step 6: Final answer
    x = 16,462.29

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.