Finding the Third Proportional to 8,198 and 12,008
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Solution
The third proportional to 8,198 and 12,008 is: 17,588.69
Step by Step Solution
- Step 1: Write the proportion equation
8,198 : 12,008 = 12,008 : x - Step 2: Convert to fraction form
8,198/12,008 = 12,008/x - Step 3: Cross multiply
8,198x = 12,008 × 12,008 - Step 4: Simplify right side
8,198x = 144,192,064 - Step 5: Solve for x
x = 144,192,064/8,198 - Step 6: Final answer
x = 17,588.69
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.