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Finding the Third Proportional to 3,734.86 and 5,516.86

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Solution

The third proportional to 3,734.86 and 5,516.86 is: 8,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.86 : 5,516.86 = 5,516.86 : x
  2. Step 2: Convert to fraction form
    3,734.86/5,516.86 = 5,516.86/x
  3. Step 3: Cross multiply
    3,734.86x = 5,516.86 × 5,516.86
  4. Step 4: Simplify right side
    3,734.86x = 30,435,737.36
  5. Step 5: Solve for x
    x = 30,435,737.36/3,734.86
  6. Step 6: Final answer
    x = 8,149.10

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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.