Finding the Third Proportional to 8,144 and 19,304
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Solution
The third proportional to 8,144 and 19,304 is: 45,756.93
Step by Step Solution
- Step 1: Write the proportion equation
8,144 : 19,304 = 19,304 : x - Step 2: Convert to fraction form
8,144/19,304 = 19,304/x - Step 3: Cross multiply
8,144x = 19,304 × 19,304 - Step 4: Simplify right side
8,144x = 372,644,416 - Step 5: Solve for x
x = 372,644,416/8,144 - Step 6: Final answer
x = 45,756.93
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.