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Finding the Third Proportional to 23,668 and 51,938

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Solution

The third proportional to 23,668 and 51,938 is: 113,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668 : 51,938 = 51,938 : x
  2. Step 2: Convert to fraction form
    23,668/51,938 = 51,938/x
  3. Step 3: Cross multiply
    23,668x = 51,938 × 51,938
  4. Step 4: Simplify right side
    23,668x = 2,697,555,844
  5. Step 5: Solve for x
    x = 2,697,555,844/23,668
  6. Step 6: Final answer
    x = 113,974.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.