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Finding the Third Proportional to 8,245.13 and 12,786.75

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Solution

The third proportional to 8,245.13 and 12,786.75 is: 19,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.13 : 12,786.75 = 12,786.75 : x
  2. Step 2: Convert to fraction form
    8,245.13/12,786.75 = 12,786.75/x
  3. Step 3: Cross multiply
    8,245.13x = 12,786.75 × 12,786.75
  4. Step 4: Simplify right side
    8,245.13x = 163,500,975.56
  5. Step 5: Solve for x
    x = 163,500,975.56/8,245.13
  6. Step 6: Final answer
    x = 19,830.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.