Finding the Third Proportional to 1,728 and 3,744
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Solution
The third proportional to 1,728 and 3,744 is: 8,112
Step by Step Solution
- Step 1: Write the proportion equation
1,728 : 3,744 = 3,744 : x - Step 2: Convert to fraction form
1,728/3,744 = 3,744/x - Step 3: Cross multiply
1,728x = 3,744 × 3,744 - Step 4: Simplify right side
1,728x = 14,017,536 - Step 5: Solve for x
x = 14,017,536/1,728 - Step 6: Final answer
x = 8,112
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.