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Finding the Third Proportional to 4,824.28 and 7,216.17

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Solution

The third proportional to 4,824.28 and 7,216.17 is: 10,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.28 : 7,216.17 = 7,216.17 : x
  2. Step 2: Convert to fraction form
    4,824.28/7,216.17 = 7,216.17/x
  3. Step 3: Cross multiply
    4,824.28x = 7,216.17 × 7,216.17
  4. Step 4: Simplify right side
    4,824.28x = 52,073,136.53
  5. Step 5: Solve for x
    x = 52,073,136.53/4,824.28
  6. Step 6: Final answer
    x = 10,793.97

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Why These Related Problems?

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