Finding the Third Proportional to 5,832 and 6,680
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Solution
The third proportional to 5,832 and 6,680 is: 7,651.30
Step by Step Solution
- Step 1: Write the proportion equation
5,832 : 6,680 = 6,680 : x - Step 2: Convert to fraction form
5,832/6,680 = 6,680/x - Step 3: Cross multiply
5,832x = 6,680 × 6,680 - Step 4: Simplify right side
5,832x = 44,622,400 - Step 5: Solve for x
x = 44,622,400/5,832 - Step 6: Final answer
x = 7,651.30
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.