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Finding the Third Proportional to 4,863.38 and 7,200.56

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Solution

The third proportional to 4,863.38 and 7,200.56 is: 10,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.38 : 7,200.56 = 7,200.56 : x
  2. Step 2: Convert to fraction form
    4,863.38/7,200.56 = 7,200.56/x
  3. Step 3: Cross multiply
    4,863.38x = 7,200.56 × 7,200.56
  4. Step 4: Simplify right side
    4,863.38x = 51,848,100.32
  5. Step 5: Solve for x
    x = 51,848,100.32/4,863.38
  6. Step 6: Final answer
    x = 10,660.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.