Finding the Third Proportional to 21,376 and 31,836
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Solution
The third proportional to 21,376 and 31,836 is: 47,414.43
Step by Step Solution
- Step 1: Write the proportion equation
21,376 : 31,836 = 31,836 : x - Step 2: Convert to fraction form
21,376/31,836 = 31,836/x - Step 3: Cross multiply
21,376x = 31,836 × 31,836 - Step 4: Simplify right side
21,376x = 1,013,530,896 - Step 5: Solve for x
x = 1,013,530,896/21,376 - Step 6: Final answer
x = 47,414.43
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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.