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Finding the Third Proportional to 5,019 and 7,137

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Solution

The third proportional to 5,019 and 7,137 is: 10,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019 : 7,137 = 7,137 : x
  2. Step 2: Convert to fraction form
    5,019/7,137 = 7,137/x
  3. Step 3: Cross multiply
    5,019x = 7,137 × 7,137
  4. Step 4: Simplify right side
    5,019x = 50,936,769
  5. Step 5: Solve for x
    x = 50,936,769/5,019
  6. Step 6: Final answer
    x = 10,148.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.