Finding the Third Proportional to 1,398 and 1,956
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Solution
The third proportional to 1,398 and 1,956 is: 2,736.72
Step by Step Solution
- Step 1: Write the proportion equation
1,398 : 1,956 = 1,956 : x - Step 2: Convert to fraction form
1,398/1,956 = 1,956/x - Step 3: Cross multiply
1,398x = 1,956 × 1,956 - Step 4: Simplify right side
1,398x = 3,825,936 - Step 5: Solve for x
x = 3,825,936/1,398 - Step 6: Final answer
x = 2,736.72
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.