Finding the Third Proportional to 8,424 and 11,232
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Solution
The third proportional to 8,424 and 11,232 is: 14,976
Step by Step Solution
- Step 1: Write the proportion equation
8,424 : 11,232 = 11,232 : x - Step 2: Convert to fraction form
8,424/11,232 = 11,232/x - Step 3: Cross multiply
8,424x = 11,232 × 11,232 - Step 4: Simplify right side
8,424x = 126,157,824 - Step 5: Solve for x
x = 126,157,824/8,424 - Step 6: Final answer
x = 14,976
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.