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Finding the Third Proportional to 23,493 and 48,927

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Solution

The third proportional to 23,493 and 48,927 is: 101,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493 : 48,927 = 48,927 : x
  2. Step 2: Convert to fraction form
    23,493/48,927 = 48,927/x
  3. Step 3: Cross multiply
    23,493x = 48,927 × 48,927
  4. Step 4: Simplify right side
    23,493x = 2,393,851,329
  5. Step 5: Solve for x
    x = 2,393,851,329/23,493
  6. Step 6: Final answer
    x = 101,896.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.