Finding the Third Proportional to 8,112 and 18,096
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Solution
The third proportional to 8,112 and 18,096 is: 40,368
Step by Step Solution
- Step 1: Write the proportion equation
8,112 : 18,096 = 18,096 : x - Step 2: Convert to fraction form
8,112/18,096 = 18,096/x - Step 3: Cross multiply
8,112x = 18,096 × 18,096 - Step 4: Simplify right side
8,112x = 327,465,216 - Step 5: Solve for x
x = 327,465,216/8,112 - Step 6: Final answer
x = 40,368
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.