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Finding the Third Proportional to 3,080.53 and 4,096.83

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Solution

The third proportional to 3,080.53 and 4,096.83 is: 5,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.53 : 4,096.83 = 4,096.83 : x
  2. Step 2: Convert to fraction form
    3,080.53/4,096.83 = 4,096.83/x
  3. Step 3: Cross multiply
    3,080.53x = 4,096.83 × 4,096.83
  4. Step 4: Simplify right side
    3,080.53x = 16,784,000.69
  5. Step 5: Solve for x
    x = 16,784,000.69/3,080.53
  6. Step 6: Final answer
    x = 5,448.41

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.