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Finding the Third Proportional to 25,198 and 35,225

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Solution

The third proportional to 25,198 and 35,225 is: 49,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198 : 35,225 = 35,225 : x
  2. Step 2: Convert to fraction form
    25,198/35,225 = 35,225/x
  3. Step 3: Cross multiply
    25,198x = 35,225 × 35,225
  4. Step 4: Simplify right side
    25,198x = 1,240,800,625
  5. Step 5: Solve for x
    x = 1,240,800,625/25,198
  6. Step 6: Final answer
    x = 49,242.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.