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Finding the Third Proportional to 8,216.44 and 10,683.14

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Solution

The third proportional to 8,216.44 and 10,683.14 is: 13,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 10,683.14 = 10,683.14 : x
  2. Step 2: Convert to fraction form
    8,216.44/10,683.14 = 10,683.14/x
  3. Step 3: Cross multiply
    8,216.44x = 10,683.14 × 10,683.14
  4. Step 4: Simplify right side
    8,216.44x = 114,129,493.61
  5. Step 5: Solve for x
    x = 114,129,493.61/8,216.44
  6. Step 6: Final answer
    x = 13,890.39

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.