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Finding the Third Proportional to 8,289 and 18,194.63

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Solution

The third proportional to 8,289 and 18,194.63 is: 39,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289 : 18,194.63 = 18,194.63 : x
  2. Step 2: Convert to fraction form
    8,289/18,194.63 = 18,194.63/x
  3. Step 3: Cross multiply
    8,289x = 18,194.63 × 18,194.63
  4. Step 4: Simplify right side
    8,289x = 331,044,378.89
  5. Step 5: Solve for x
    x = 331,044,378.89/8,289
  6. Step 6: Final answer
    x = 39,937.79

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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.