Finding the Third Proportional to 1,760 and 3,838
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Solution
The third proportional to 1,760 and 3,838 is: 8,369.46
Step by Step Solution
- Step 1: Write the proportion equation
1,760 : 3,838 = 3,838 : x - Step 2: Convert to fraction form
1,760/3,838 = 3,838/x - Step 3: Cross multiply
1,760x = 3,838 × 3,838 - Step 4: Simplify right side
1,760x = 14,730,244 - Step 5: Solve for x
x = 14,730,244/1,760 - Step 6: Final answer
x = 8,369.46
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.