Finding the Third Proportional to 20,760 and 32,234
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Solution
The third proportional to 20,760 and 32,234 is: 50,049.65
Step by Step Solution
- Step 1: Write the proportion equation
20,760 : 32,234 = 32,234 : x - Step 2: Convert to fraction form
20,760/32,234 = 32,234/x - Step 3: Cross multiply
20,760x = 32,234 × 32,234 - Step 4: Simplify right side
20,760x = 1,039,030,756 - Step 5: Solve for x
x = 1,039,030,756/20,760 - Step 6: Final answer
x = 50,049.65
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.