Finding the Third Proportional to 3,136 and 5,936
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Solution
The third proportional to 3,136 and 5,936 is: 11,236
Step by Step Solution
- Step 1: Write the proportion equation
3,136 : 5,936 = 5,936 : x - Step 2: Convert to fraction form
3,136/5,936 = 5,936/x - Step 3: Cross multiply
3,136x = 5,936 × 5,936 - Step 4: Simplify right side
3,136x = 35,236,096 - Step 5: Solve for x
x = 35,236,096/3,136 - Step 6: Final answer
x = 11,236
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.