Finding the Third Proportional to 3,872 and 8,096
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Solution
The third proportional to 3,872 and 8,096 is: 16,928
Step by Step Solution
- Step 1: Write the proportion equation
3,872 : 8,096 = 8,096 : x - Step 2: Convert to fraction form
3,872/8,096 = 8,096/x - Step 3: Cross multiply
3,872x = 8,096 × 8,096 - Step 4: Simplify right side
3,872x = 65,545,216 - Step 5: Solve for x
x = 65,545,216/3,872 - Step 6: Final answer
x = 16,928
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.