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Finding the Third Proportional to 3,024 and 5,968

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Solution

The third proportional to 3,024 and 5,968 is: 11,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 5,968 = 5,968 : x
  2. Step 2: Convert to fraction form
    3,024/5,968 = 5,968/x
  3. Step 3: Cross multiply
    3,024x = 5,968 × 5,968
  4. Step 4: Simplify right side
    3,024x = 35,617,024
  5. Step 5: Solve for x
    x = 35,617,024/3,024
  6. Step 6: Final answer
    x = 11,778.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.