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Finding the Third Proportional to 8,216.44 and 12,307.78

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Solution

The third proportional to 8,216.44 and 12,307.78 is: 18,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 12,307.78 = 12,307.78 : x
  2. Step 2: Convert to fraction form
    8,216.44/12,307.78 = 12,307.78/x
  3. Step 3: Cross multiply
    8,216.44x = 12,307.78 × 12,307.78
  4. Step 4: Simplify right side
    8,216.44x = 151,481,479.30
  5. Step 5: Solve for x
    x = 151,481,479.30/8,216.44
  6. Step 6: Final answer
    x = 18,436.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.