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Finding the Third Proportional to 36,096 and 49,176

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Solution

The third proportional to 36,096 and 49,176 is: 66,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,096 : 49,176 = 49,176 : x
  2. Step 2: Convert to fraction form
    36,096/49,176 = 49,176/x
  3. Step 3: Cross multiply
    36,096x = 49,176 × 49,176
  4. Step 4: Simplify right side
    36,096x = 2,418,278,976
  5. Step 5: Solve for x
    x = 2,418,278,976/36,096
  6. Step 6: Final answer
    x = 66,995.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.