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Finding the Third Proportional to 8,204.06 and 17,997.47

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Solution

The third proportional to 8,204.06 and 17,997.47 is: 39,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.06 : 17,997.47 = 17,997.47 : x
  2. Step 2: Convert to fraction form
    8,204.06/17,997.47 = 17,997.47/x
  3. Step 3: Cross multiply
    8,204.06x = 17,997.47 × 17,997.47
  4. Step 4: Simplify right side
    8,204.06x = 323,908,881.41
  5. Step 5: Solve for x
    x = 323,908,881.41/8,204.06
  6. Step 6: Final answer
    x = 39,481.52

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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.