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Finding the Third Proportional to 8,186.06 and 15,550.31

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Solution

The third proportional to 8,186.06 and 15,550.31 is: 29,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.06 : 15,550.31 = 15,550.31 : x
  2. Step 2: Convert to fraction form
    8,186.06/15,550.31 = 15,550.31/x
  3. Step 3: Cross multiply
    8,186.06x = 15,550.31 × 15,550.31
  4. Step 4: Simplify right side
    8,186.06x = 241,812,218.85
  5. Step 5: Solve for x
    x = 241,812,218.85/8,186.06
  6. Step 6: Final answer
    x = 29,539.50

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.