Finding the Third Proportional to 21,418 and 31,934
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Solution
The third proportional to 21,418 and 31,934 is: 47,613.24
Step by Step Solution
- Step 1: Write the proportion equation
21,418 : 31,934 = 31,934 : x - Step 2: Convert to fraction form
21,418/31,934 = 31,934/x - Step 3: Cross multiply
21,418x = 31,934 × 31,934 - Step 4: Simplify right side
21,418x = 1,019,780,356 - Step 5: Solve for x
x = 1,019,780,356/21,418 - Step 6: Final answer
x = 47,613.24
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.