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Finding the Third Proportional to 13,839 and 30,005

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Solution

The third proportional to 13,839 and 30,005 is: 65,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,839 : 30,005 = 30,005 : x
  2. Step 2: Convert to fraction form
    13,839/30,005 = 30,005/x
  3. Step 3: Cross multiply
    13,839x = 30,005 × 30,005
  4. Step 4: Simplify right side
    13,839x = 900,300,025
  5. Step 5: Solve for x
    x = 900,300,025/13,839
  6. Step 6: Final answer
    x = 65,055.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.