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Finding the Third Proportional to 3,024 and 3,408

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Solution

The third proportional to 3,024 and 3,408 is: 3,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 3,408 = 3,408 : x
  2. Step 2: Convert to fraction form
    3,024/3,408 = 3,408/x
  3. Step 3: Cross multiply
    3,024x = 3,408 × 3,408
  4. Step 4: Simplify right side
    3,024x = 11,614,464
  5. Step 5: Solve for x
    x = 11,614,464/3,024
  6. Step 6: Final answer
    x = 3,840.76

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.