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Finding the Third Proportional to 3,760.17 and 7,611.61

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Solution

The third proportional to 3,760.17 and 7,611.61 is: 15,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.17 : 7,611.61 = 7,611.61 : x
  2. Step 2: Convert to fraction form
    3,760.17/7,611.61 = 7,611.61/x
  3. Step 3: Cross multiply
    3,760.17x = 7,611.61 × 7,611.61
  4. Step 4: Simplify right side
    3,760.17x = 57,936,597.28
  5. Step 5: Solve for x
    x = 57,936,597.28/3,760.17
  6. Step 6: Final answer
    x = 15,407.97

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.