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Finding the Third Proportional to 3,324 and 6,024

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Solution

The third proportional to 3,324 and 6,024 is: 10,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324 : 6,024 = 6,024 : x
  2. Step 2: Convert to fraction form
    3,324/6,024 = 6,024/x
  3. Step 3: Cross multiply
    3,324x = 6,024 × 6,024
  4. Step 4: Simplify right side
    3,324x = 36,288,576
  5. Step 5: Solve for x
    x = 36,288,576/3,324
  6. Step 6: Final answer
    x = 10,917.14

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.