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Finding the Third Proportional to 15,204 and 31,936

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Solution

The third proportional to 15,204 and 31,936 is: 67,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204 : 31,936 = 31,936 : x
  2. Step 2: Convert to fraction form
    15,204/31,936 = 31,936/x
  3. Step 3: Cross multiply
    15,204x = 31,936 × 31,936
  4. Step 4: Simplify right side
    15,204x = 1,019,908,096
  5. Step 5: Solve for x
    x = 1,019,908,096/15,204
  6. Step 6: Final answer
    x = 67,081.56

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