Finding the Third Proportional to 20,960 and 32,170
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Solution
The third proportional to 20,960 and 32,170 is: 49,375.42
Step by Step Solution
- Step 1: Write the proportion equation
20,960 : 32,170 = 32,170 : x - Step 2: Convert to fraction form
20,960/32,170 = 32,170/x - Step 3: Cross multiply
20,960x = 32,170 × 32,170 - Step 4: Simplify right side
20,960x = 1,034,908,900 - Step 5: Solve for x
x = 1,034,908,900/20,960 - Step 6: Final answer
x = 49,375.42
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.