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Finding the Third Proportional to 11,195 and 24,125

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Solution

The third proportional to 11,195 and 24,125 is: 51,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195 : 24,125 = 24,125 : x
  2. Step 2: Convert to fraction form
    11,195/24,125 = 24,125/x
  3. Step 3: Cross multiply
    11,195x = 24,125 × 24,125
  4. Step 4: Simplify right side
    11,195x = 582,015,625
  5. Step 5: Solve for x
    x = 582,015,625/11,195
  6. Step 6: Final answer
    x = 51,988.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.