Finding the Third Proportional to 800 and 1,728
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Solution
The third proportional to 800 and 1,728 is: 3,732.48
Step by Step Solution
- Step 1: Write the proportion equation
800 : 1,728 = 1,728 : x - Step 2: Convert to fraction form
800/1,728 = 1,728/x - Step 3: Cross multiply
800x = 1,728 × 1,728 - Step 4: Simplify right side
800x = 2,985,984 - Step 5: Solve for x
x = 2,985,984/800 - Step 6: Final answer
x = 3,732.48
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.