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Finding the Third Proportional to 2,697.19 and 4,049.44

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Solution

The third proportional to 2,697.19 and 4,049.44 is: 6,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.19 : 4,049.44 = 4,049.44 : x
  2. Step 2: Convert to fraction form
    2,697.19/4,049.44 = 4,049.44/x
  3. Step 3: Cross multiply
    2,697.19x = 4,049.44 × 4,049.44
  4. Step 4: Simplify right side
    2,697.19x = 16,397,944.07
  5. Step 5: Solve for x
    x = 16,397,944.07/2,697.19
  6. Step 6: Final answer
    x = 6,079.65

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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.