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Finding the Third Proportional to 7,200.56 and 8,233.31

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Solution

The third proportional to 7,200.56 and 8,233.31 is: 9,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.56 : 8,233.31 = 8,233.31 : x
  2. Step 2: Convert to fraction form
    7,200.56/8,233.31 = 8,233.31/x
  3. Step 3: Cross multiply
    7,200.56x = 8,233.31 × 8,233.31
  4. Step 4: Simplify right side
    7,200.56x = 67,787,434.72
  5. Step 5: Solve for x
    x = 67,787,434.72/7,200.56
  6. Step 6: Final answer
    x = 9,414.19

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.