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Finding the Third Proportional to 13,344 and 27,996

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Solution

The third proportional to 13,344 and 27,996 is: 58,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344 : 27,996 = 27,996 : x
  2. Step 2: Convert to fraction form
    13,344/27,996 = 27,996/x
  3. Step 3: Cross multiply
    13,344x = 27,996 × 27,996
  4. Step 4: Simplify right side
    13,344x = 783,776,016
  5. Step 5: Solve for x
    x = 783,776,016/13,344
  6. Step 6: Final answer
    x = 58,736.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.