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Finding the Third Proportional to 8,227.13 and 17,996.63

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Solution

The third proportional to 8,227.13 and 17,996.63 is: 39,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.13 : 17,996.63 = 17,996.63 : x
  2. Step 2: Convert to fraction form
    8,227.13/17,996.63 = 17,996.63/x
  3. Step 3: Cross multiply
    8,227.13x = 17,996.63 × 17,996.63
  4. Step 4: Simplify right side
    8,227.13x = 323,878,511.39
  5. Step 5: Solve for x
    x = 323,878,511.39/8,227.13
  6. Step 6: Final answer
    x = 39,367.16

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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.