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Finding the Third Proportional to 8,216.44 and 12,428.44

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Solution

The third proportional to 8,216.44 and 12,428.44 is: 18,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 12,428.44 = 12,428.44 : x
  2. Step 2: Convert to fraction form
    8,216.44/12,428.44 = 12,428.44/x
  3. Step 3: Cross multiply
    8,216.44x = 12,428.44 × 12,428.44
  4. Step 4: Simplify right side
    8,216.44x = 154,466,058.69
  5. Step 5: Solve for x
    x = 154,466,058.69/8,216.44
  6. Step 6: Final answer
    x = 18,799.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.