Finding the Third Proportional to 2,048 and 3,968
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Solution
The third proportional to 2,048 and 3,968 is: 7,688
Step by Step Solution
- Step 1: Write the proportion equation
2,048 : 3,968 = 3,968 : x - Step 2: Convert to fraction form
2,048/3,968 = 3,968/x - Step 3: Cross multiply
2,048x = 3,968 × 3,968 - Step 4: Simplify right side
2,048x = 15,745,024 - Step 5: Solve for x
x = 15,745,024/2,048 - Step 6: Final answer
x = 7,688
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Why These Related Problems?
These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.