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Finding the Third Proportional to 8,001.91 and 17,481.76

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Solution

The third proportional to 8,001.91 and 17,481.76 is: 38,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.91 : 17,481.76 = 17,481.76 : x
  2. Step 2: Convert to fraction form
    8,001.91/17,481.76 = 17,481.76/x
  3. Step 3: Cross multiply
    8,001.91x = 17,481.76 × 17,481.76
  4. Step 4: Simplify right side
    8,001.91x = 305,611,992.79
  5. Step 5: Solve for x
    x = 305,611,992.79/8,001.91
  6. Step 6: Final answer
    x = 38,192.36

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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.