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Finding the Third Proportional to 7,809 and 17,218

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Solution

The third proportional to 7,809 and 17,218 is: 37,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809 : 17,218 = 17,218 : x
  2. Step 2: Convert to fraction form
    7,809/17,218 = 17,218/x
  3. Step 3: Cross multiply
    7,809x = 17,218 × 17,218
  4. Step 4: Simplify right side
    7,809x = 296,459,524
  5. Step 5: Solve for x
    x = 296,459,524/7,809
  6. Step 6: Final answer
    x = 37,963.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.