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Finding the Third Proportional to 2,144 and 3,408

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Solution

The third proportional to 2,144 and 3,408 is: 5,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 3,408 = 3,408 : x
  2. Step 2: Convert to fraction form
    2,144/3,408 = 3,408/x
  3. Step 3: Cross multiply
    2,144x = 3,408 × 3,408
  4. Step 4: Simplify right side
    2,144x = 11,614,464
  5. Step 5: Solve for x
    x = 11,614,464/2,144
  6. Step 6: Final answer
    x = 5,417.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.