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Finding the Third Proportional to 2,722.44 and 4,072.94

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Solution

The third proportional to 2,722.44 and 4,072.94 is: 6,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.44 : 4,072.94 = 4,072.94 : x
  2. Step 2: Convert to fraction form
    2,722.44/4,072.94 = 4,072.94/x
  3. Step 3: Cross multiply
    2,722.44x = 4,072.94 × 4,072.94
  4. Step 4: Simplify right side
    2,722.44x = 16,588,819.88
  5. Step 5: Solve for x
    x = 16,588,819.88/2,722.44
  6. Step 6: Final answer
    x = 6,093.37

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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.