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Finding the Third Proportional to 25,194 and 54,993

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Solution

The third proportional to 25,194 and 54,993 is: 120,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194 : 54,993 = 54,993 : x
  2. Step 2: Convert to fraction form
    25,194/54,993 = 54,993/x
  3. Step 3: Cross multiply
    25,194x = 54,993 × 54,993
  4. Step 4: Simplify right side
    25,194x = 3,024,230,049
  5. Step 5: Solve for x
    x = 3,024,230,049/25,194
  6. Step 6: Final answer
    x = 120,037.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.