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Finding the Third Proportional to 12,744 and 25,851

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Solution

The third proportional to 12,744 and 25,851 is: 52,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 25,851 = 25,851 : x
  2. Step 2: Convert to fraction form
    12,744/25,851 = 25,851/x
  3. Step 3: Cross multiply
    12,744x = 25,851 × 25,851
  4. Step 4: Simplify right side
    12,744x = 668,274,201
  5. Step 5: Solve for x
    x = 668,274,201/12,744
  6. Step 6: Final answer
    x = 52,438.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.