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Finding the Third Proportional to 6,024 and 13,344

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Solution

The third proportional to 6,024 and 13,344 is: 29,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024 : 13,344 = 13,344 : x
  2. Step 2: Convert to fraction form
    6,024/13,344 = 13,344/x
  3. Step 3: Cross multiply
    6,024x = 13,344 × 13,344
  4. Step 4: Simplify right side
    6,024x = 178,062,336
  5. Step 5: Solve for x
    x = 178,062,336/6,024
  6. Step 6: Final answer
    x = 29,558.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.