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Finding the Third Proportional to 8,204.63 and 9,996.75

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Solution

The third proportional to 8,204.63 and 9,996.75 is: 12,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.63 : 9,996.75 = 9,996.75 : x
  2. Step 2: Convert to fraction form
    8,204.63/9,996.75 = 9,996.75/x
  3. Step 3: Cross multiply
    8,204.63x = 9,996.75 × 9,996.75
  4. Step 4: Simplify right side
    8,204.63x = 99,935,010.56
  5. Step 5: Solve for x
    x = 99,935,010.56/8,204.63
  6. Step 6: Final answer
    x = 12,180.33

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.