Finding the Third Proportional to 21,816 and 31,942
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Solution
The third proportional to 21,816 and 31,942 is: 46,768.03
Step by Step Solution
- Step 1: Write the proportion equation
21,816 : 31,942 = 31,942 : x - Step 2: Convert to fraction form
21,816/31,942 = 31,942/x - Step 3: Cross multiply
21,816x = 31,942 × 31,942 - Step 4: Simplify right side
21,816x = 1,020,291,364 - Step 5: Solve for x
x = 1,020,291,364/21,816 - Step 6: Final answer
x = 46,768.03
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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.