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Finding the Third Proportional to 3,324.38 and 8,037.56

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Solution

The third proportional to 3,324.38 and 8,037.56 is: 19,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.38 : 8,037.56 = 8,037.56 : x
  2. Step 2: Convert to fraction form
    3,324.38/8,037.56 = 8,037.56/x
  3. Step 3: Cross multiply
    3,324.38x = 8,037.56 × 8,037.56
  4. Step 4: Simplify right side
    3,324.38x = 64,602,410.94
  5. Step 5: Solve for x
    x = 64,602,410.94/3,324.38
  6. Step 6: Final answer
    x = 19,432.95

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.