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Finding the Third Proportional to 3,772.88 and 8,193.95

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Solution

The third proportional to 3,772.88 and 8,193.95 is: 17,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.88 : 8,193.95 = 8,193.95 : x
  2. Step 2: Convert to fraction form
    3,772.88/8,193.95 = 8,193.95/x
  3. Step 3: Cross multiply
    3,772.88x = 8,193.95 × 8,193.95
  4. Step 4: Simplify right side
    3,772.88x = 67,140,863.81
  5. Step 5: Solve for x
    x = 67,140,863.81/3,772.88
  6. Step 6: Final answer
    x = 17,795.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.