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Finding the Third Proportional to 8,270.44 and 17,998.88

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Solution

The third proportional to 8,270.44 and 17,998.88 is: 39,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.44 : 17,998.88 = 17,998.88 : x
  2. Step 2: Convert to fraction form
    8,270.44/17,998.88 = 17,998.88/x
  3. Step 3: Cross multiply
    8,270.44x = 17,998.88 × 17,998.88
  4. Step 4: Simplify right side
    8,270.44x = 323,959,501.27
  5. Step 5: Solve for x
    x = 323,959,501.27/8,270.44
  6. Step 6: Final answer
    x = 39,170.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.