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Finding the Third Proportional to 8,584 and 18,809

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Solution

The third proportional to 8,584 and 18,809 is: 41,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584 : 18,809 = 18,809 : x
  2. Step 2: Convert to fraction form
    8,584/18,809 = 18,809/x
  3. Step 3: Cross multiply
    8,584x = 18,809 × 18,809
  4. Step 4: Simplify right side
    8,584x = 353,778,481
  5. Step 5: Solve for x
    x = 353,778,481/8,584
  6. Step 6: Final answer
    x = 41,213.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.