Finding the Third Proportional to 31,916 and 50,682
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Solution
The third proportional to 31,916 and 50,682 is: 80,482.05
Step by Step Solution
- Step 1: Write the proportion equation
31,916 : 50,682 = 50,682 : x - Step 2: Convert to fraction form
31,916/50,682 = 50,682/x - Step 3: Cross multiply
31,916x = 50,682 × 50,682 - Step 4: Simplify right side
31,916x = 2,568,665,124 - Step 5: Solve for x
x = 2,568,665,124/31,916 - Step 6: Final answer
x = 80,482.05
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.