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Finding the Third Proportional to 11,938 and 25,077

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Solution

The third proportional to 11,938 and 25,077 is: 52,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938 : 25,077 = 25,077 : x
  2. Step 2: Convert to fraction form
    11,938/25,077 = 25,077/x
  3. Step 3: Cross multiply
    11,938x = 25,077 × 25,077
  4. Step 4: Simplify right side
    11,938x = 628,855,929
  5. Step 5: Solve for x
    x = 628,855,929/11,938
  6. Step 6: Final answer
    x = 52,676.82

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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.