Finding the Third Proportional to 996 and 1,634
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Solution
The third proportional to 996 and 1,634 is: 2,680.68
Step by Step Solution
- Step 1: Write the proportion equation
996 : 1,634 = 1,634 : x - Step 2: Convert to fraction form
996/1,634 = 1,634/x - Step 3: Cross multiply
996x = 1,634 × 1,634 - Step 4: Simplify right side
996x = 2,669,956 - Step 5: Solve for x
x = 2,669,956/996 - Step 6: Final answer
x = 2,680.68
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.