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Finding the Third Proportional to 3,704.06 and 5,611.78

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Solution

The third proportional to 3,704.06 and 5,611.78 is: 8,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.06 : 5,611.78 = 5,611.78 : x
  2. Step 2: Convert to fraction form
    3,704.06/5,611.78 = 5,611.78/x
  3. Step 3: Cross multiply
    3,704.06x = 5,611.78 × 5,611.78
  4. Step 4: Simplify right side
    3,704.06x = 31,492,088.80
  5. Step 5: Solve for x
    x = 31,492,088.80/3,704.06
  6. Step 6: Final answer
    x = 8,502.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.