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Finding the Third Proportional to 3,520.69 and 7,542.56

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Solution

The third proportional to 3,520.69 and 7,542.56 is: 16,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.69 : 7,542.56 = 7,542.56 : x
  2. Step 2: Convert to fraction form
    3,520.69/7,542.56 = 7,542.56/x
  3. Step 3: Cross multiply
    3,520.69x = 7,542.56 × 7,542.56
  4. Step 4: Simplify right side
    3,520.69x = 56,890,249.07
  5. Step 5: Solve for x
    x = 56,890,249.07/3,520.69
  6. Step 6: Final answer
    x = 16,158.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.