Finding the Third Proportional to 8,424 and 11,802
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Solution
The third proportional to 8,424 and 11,802 is: 16,534.57
Step by Step Solution
- Step 1: Write the proportion equation
8,424 : 11,802 = 11,802 : x - Step 2: Convert to fraction form
8,424/11,802 = 11,802/x - Step 3: Cross multiply
8,424x = 11,802 × 11,802 - Step 4: Simplify right side
8,424x = 139,287,204 - Step 5: Solve for x
x = 139,287,204/8,424 - Step 6: Final answer
x = 16,534.57
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.