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Finding the Third Proportional to 5,162 and 7,809

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Solution

The third proportional to 5,162 and 7,809 is: 11,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162 : 7,809 = 7,809 : x
  2. Step 2: Convert to fraction form
    5,162/7,809 = 7,809/x
  3. Step 3: Cross multiply
    5,162x = 7,809 × 7,809
  4. Step 4: Simplify right side
    5,162x = 60,980,481
  5. Step 5: Solve for x
    x = 60,980,481/5,162
  6. Step 6: Final answer
    x = 11,813.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.