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Finding the Third Proportional to 25,198 and 52,993

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Solution

The third proportional to 25,198 and 52,993 is: 111,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198 : 52,993 = 52,993 : x
  2. Step 2: Convert to fraction form
    25,198/52,993 = 52,993/x
  3. Step 3: Cross multiply
    25,198x = 52,993 × 52,993
  4. Step 4: Simplify right side
    25,198x = 2,808,258,049
  5. Step 5: Solve for x
    x = 2,808,258,049/25,198
  6. Step 6: Final answer
    x = 111,447.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.