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Finding the Third Proportional to 19,296 and 30,936

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Solution

The third proportional to 19,296 and 30,936 is: 49,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296 : 30,936 = 30,936 : x
  2. Step 2: Convert to fraction form
    19,296/30,936 = 30,936/x
  3. Step 3: Cross multiply
    19,296x = 30,936 × 30,936
  4. Step 4: Simplify right side
    19,296x = 957,036,096
  5. Step 5: Solve for x
    x = 957,036,096/19,296
  6. Step 6: Final answer
    x = 49,597.64

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.