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Finding the Third Proportional to 2,704.50 and 4,076.75

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Solution

The third proportional to 2,704.50 and 4,076.75 is: 6,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.50 : 4,076.75 = 4,076.75 : x
  2. Step 2: Convert to fraction form
    2,704.50/4,076.75 = 4,076.75/x
  3. Step 3: Cross multiply
    2,704.50x = 4,076.75 × 4,076.75
  4. Step 4: Simplify right side
    2,704.50x = 16,619,890.56
  5. Step 5: Solve for x
    x = 16,619,890.56/2,704.50
  6. Step 6: Final answer
    x = 6,145.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.