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Finding the Third Proportional to 2,704.50 and 4,251.38

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Solution

The third proportional to 2,704.50 and 4,251.38 is: 6,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.50 : 4,251.38 = 4,251.38 : x
  2. Step 2: Convert to fraction form
    2,704.50/4,251.38 = 4,251.38/x
  3. Step 3: Cross multiply
    2,704.50x = 4,251.38 × 4,251.38
  4. Step 4: Simplify right side
    2,704.50x = 18,074,189.39
  5. Step 5: Solve for x
    x = 18,074,189.39/2,704.50
  6. Step 6: Final answer
    x = 6,683.01

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.