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Finding the Third Proportional to 2,244.38 and 3,401.44

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Solution

The third proportional to 2,244.38 and 3,401.44 is: 5,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.38 : 3,401.44 = 3,401.44 : x
  2. Step 2: Convert to fraction form
    2,244.38/3,401.44 = 3,401.44/x
  3. Step 3: Cross multiply
    2,244.38x = 3,401.44 × 3,401.44
  4. Step 4: Simplify right side
    2,244.38x = 11,569,777.07
  5. Step 5: Solve for x
    x = 11,569,777.07/2,244.38
  6. Step 6: Final answer
    x = 5,155.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.