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Finding the Third Proportional to 2,122.03 and 3,072.94

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Solution

The third proportional to 2,122.03 and 3,072.94 is: 4,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.03 : 3,072.94 = 3,072.94 : x
  2. Step 2: Convert to fraction form
    2,122.03/3,072.94 = 3,072.94/x
  3. Step 3: Cross multiply
    2,122.03x = 3,072.94 × 3,072.94
  4. Step 4: Simplify right side
    2,122.03x = 9,442,944.88
  5. Step 5: Solve for x
    x = 9,442,944.88/2,122.03
  6. Step 6: Final answer
    x = 4,449.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.