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Finding the Third Proportional to 3,706.70 and 8,191.76

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Solution

The third proportional to 3,706.70 and 8,191.76 is: 18,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.70 : 8,191.76 = 8,191.76 : x
  2. Step 2: Convert to fraction form
    3,706.70/8,191.76 = 8,191.76/x
  3. Step 3: Cross multiply
    3,706.70x = 8,191.76 × 8,191.76
  4. Step 4: Simplify right side
    3,706.70x = 67,104,896.06
  5. Step 5: Solve for x
    x = 67,104,896.06/3,706.70
  6. Step 6: Final answer
    x = 18,103.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.