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Finding the Third Proportional to 23,096 and 30,936

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Solution

The third proportional to 23,096 and 30,936 is: 41,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096 : 30,936 = 30,936 : x
  2. Step 2: Convert to fraction form
    23,096/30,936 = 30,936/x
  3. Step 3: Cross multiply
    23,096x = 30,936 × 30,936
  4. Step 4: Simplify right side
    23,096x = 957,036,096
  5. Step 5: Solve for x
    x = 957,036,096/23,096
  6. Step 6: Final answer
    x = 41,437.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.