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Finding the Third Proportional to 25,839 and 66,372.75

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Solution

The third proportional to 25,839 and 66,372.75 is: 170,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,839 : 66,372.75 = 66,372.75 : x
  2. Step 2: Convert to fraction form
    25,839/66,372.75 = 66,372.75/x
  3. Step 3: Cross multiply
    25,839x = 66,372.75 × 66,372.75
  4. Step 4: Simplify right side
    25,839x = 4,405,341,942.56
  5. Step 5: Solve for x
    x = 4,405,341,942.56/25,839
  6. Step 6: Final answer
    x = 170,491.97

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.