Finding the Third Proportional to 8,286 and 17,940
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Solution
The third proportional to 8,286 and 17,940 is: 38,841.85
Step by Step Solution
- Step 1: Write the proportion equation
8,286 : 17,940 = 17,940 : x - Step 2: Convert to fraction form
8,286/17,940 = 17,940/x - Step 3: Cross multiply
8,286x = 17,940 × 17,940 - Step 4: Simplify right side
8,286x = 321,843,600 - Step 5: Solve for x
x = 321,843,600/8,286 - Step 6: Final answer
x = 38,841.85
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.