Finding the Third Proportional to 3,136 and 3,416
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Solution
The third proportional to 3,136 and 3,416 is: 3,721
Step by Step Solution
- Step 1: Write the proportion equation
3,136 : 3,416 = 3,416 : x - Step 2: Convert to fraction form
3,136/3,416 = 3,416/x - Step 3: Cross multiply
3,136x = 3,416 × 3,416 - Step 4: Simplify right side
3,136x = 11,669,056 - Step 5: Solve for x
x = 11,669,056/3,136 - Step 6: Final answer
x = 3,721
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.