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Finding the Third Proportional to 3,766.50 and 8,193.66

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Solution

The third proportional to 3,766.50 and 8,193.66 is: 17,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.50 : 8,193.66 = 8,193.66 : x
  2. Step 2: Convert to fraction form
    3,766.50/8,193.66 = 8,193.66/x
  3. Step 3: Cross multiply
    3,766.50x = 8,193.66 × 8,193.66
  4. Step 4: Simplify right side
    3,766.50x = 67,136,002.74
  5. Step 5: Solve for x
    x = 67,136,002.74/3,766.50
  6. Step 6: Final answer
    x = 17,824.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.