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Finding the Third Proportional to 25,367 and 54,631

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Solution

The third proportional to 25,367 and 54,631 is: 117,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367 : 54,631 = 54,631 : x
  2. Step 2: Convert to fraction form
    25,367/54,631 = 54,631/x
  3. Step 3: Cross multiply
    25,367x = 54,631 × 54,631
  4. Step 4: Simplify right side
    25,367x = 2,984,546,161
  5. Step 5: Solve for x
    x = 2,984,546,161/25,367
  6. Step 6: Final answer
    x = 117,654.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.