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Finding the Third Proportional to 8,216.44 and 13,349.25

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Solution

The third proportional to 8,216.44 and 13,349.25 is: 21,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 13,349.25 = 13,349.25 : x
  2. Step 2: Convert to fraction form
    8,216.44/13,349.25 = 13,349.25/x
  3. Step 3: Cross multiply
    8,216.44x = 13,349.25 × 13,349.25
  4. Step 4: Simplify right side
    8,216.44x = 178,202,475.56
  5. Step 5: Solve for x
    x = 178,202,475.56/8,216.44
  6. Step 6: Final answer
    x = 21,688.53

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.