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Finding the Third Proportional to 6,299.44 and 8,829.42

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Solution

The third proportional to 6,299.44 and 8,829.42 is: 12,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.44 : 8,829.42 = 8,829.42 : x
  2. Step 2: Convert to fraction form
    6,299.44/8,829.42 = 8,829.42/x
  3. Step 3: Cross multiply
    6,299.44x = 8,829.42 × 8,829.42
  4. Step 4: Simplify right side
    6,299.44x = 77,958,690.65
  5. Step 5: Solve for x
    x = 77,958,690.65/6,299.44
  6. Step 6: Final answer
    x = 12,375.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.