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Finding the Third Proportional to 23,896 and 37,963

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Solution

The third proportional to 23,896 and 37,963 is: 60,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896 : 37,963 = 37,963 : x
  2. Step 2: Convert to fraction form
    23,896/37,963 = 37,963/x
  3. Step 3: Cross multiply
    23,896x = 37,963 × 37,963
  4. Step 4: Simplify right side
    23,896x = 1,441,189,369
  5. Step 5: Solve for x
    x = 1,441,189,369/23,896
  6. Step 6: Final answer
    x = 60,310.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.