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Finding the Third Proportional to 2,190.38 and 2,438.44

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Solution

The third proportional to 2,190.38 and 2,438.44 is: 2,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.38 : 2,438.44 = 2,438.44 : x
  2. Step 2: Convert to fraction form
    2,190.38/2,438.44 = 2,438.44/x
  3. Step 3: Cross multiply
    2,190.38x = 2,438.44 × 2,438.44
  4. Step 4: Simplify right side
    2,190.38x = 5,945,977.44
  5. Step 5: Solve for x
    x = 5,945,977.44/2,190.38
  6. Step 6: Final answer
    x = 2,714.59

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.