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Finding the Third Proportional to 3,766.50 and 6,826.78

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Solution

The third proportional to 3,766.50 and 6,826.78 is: 12,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.50 : 6,826.78 = 6,826.78 : x
  2. Step 2: Convert to fraction form
    3,766.50/6,826.78 = 6,826.78/x
  3. Step 3: Cross multiply
    3,766.50x = 6,826.78 × 6,826.78
  4. Step 4: Simplify right side
    3,766.50x = 46,604,942.24
  5. Step 5: Solve for x
    x = 46,604,942.24/3,766.50
  6. Step 6: Final answer
    x = 12,373.54

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.