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Finding the Third Proportional to 6,231.09 and 8,996.91

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Solution

The third proportional to 6,231.09 and 8,996.91 is: 12,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.09 : 8,996.91 = 8,996.91 : x
  2. Step 2: Convert to fraction form
    6,231.09/8,996.91 = 8,996.91/x
  3. Step 3: Cross multiply
    6,231.09x = 8,996.91 × 8,996.91
  4. Step 4: Simplify right side
    6,231.09x = 80,944,322.07
  5. Step 5: Solve for x
    x = 80,944,322.07/6,231.09
  6. Step 6: Final answer
    x = 12,990.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.