Finding the Third Proportional to 19,816 and 31,863
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Solution
The third proportional to 19,816 and 31,863 is: 51,233.89
Step by Step Solution
- Step 1: Write the proportion equation
19,816 : 31,863 = 31,863 : x - Step 2: Convert to fraction form
19,816/31,863 = 31,863/x - Step 3: Cross multiply
19,816x = 31,863 × 31,863 - Step 4: Simplify right side
19,816x = 1,015,250,769 - Step 5: Solve for x
x = 1,015,250,769/19,816 - Step 6: Final answer
x = 51,233.89
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.