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Finding the Third Proportional to 13,851 and 30,051

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Solution

The third proportional to 13,851 and 30,051 is: 65,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 30,051 = 30,051 : x
  2. Step 2: Convert to fraction form
    13,851/30,051 = 30,051/x
  3. Step 3: Cross multiply
    13,851x = 30,051 × 30,051
  4. Step 4: Simplify right side
    13,851x = 903,062,601
  5. Step 5: Solve for x
    x = 903,062,601/13,851
  6. Step 6: Final answer
    x = 65,198.37

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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.