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Finding the Third Proportional to 12,021 and 25,777

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Solution

The third proportional to 12,021 and 25,777 is: 55,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021 : 25,777 = 25,777 : x
  2. Step 2: Convert to fraction form
    12,021/25,777 = 25,777/x
  3. Step 3: Cross multiply
    12,021x = 25,777 × 25,777
  4. Step 4: Simplify right side
    12,021x = 664,453,729
  5. Step 5: Solve for x
    x = 664,453,729/12,021
  6. Step 6: Final answer
    x = 55,274.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.