Finding the Third Proportional to 5,750 and 6,601
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Solution
The third proportional to 5,750 and 6,601 is: 7,577.95
Step by Step Solution
- Step 1: Write the proportion equation
5,750 : 6,601 = 6,601 : x - Step 2: Convert to fraction form
5,750/6,601 = 6,601/x - Step 3: Cross multiply
5,750x = 6,601 × 6,601 - Step 4: Simplify right side
5,750x = 43,573,201 - Step 5: Solve for x
x = 43,573,201/5,750 - Step 6: Final answer
x = 7,577.95
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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.