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Finding the Third Proportional to 2,704.80 and 4,065.03

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Solution

The third proportional to 2,704.80 and 4,065.03 is: 6,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.80 : 4,065.03 = 4,065.03 : x
  2. Step 2: Convert to fraction form
    2,704.80/4,065.03 = 4,065.03/x
  3. Step 3: Cross multiply
    2,704.80x = 4,065.03 × 4,065.03
  4. Step 4: Simplify right side
    2,704.80x = 16,524,463.18
  5. Step 5: Solve for x
    x = 16,524,463.18/2,704.80
  6. Step 6: Final answer
    x = 6,109.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.