Finding the Third Proportional to 7,702 and 16,622
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Solution
The third proportional to 7,702 and 16,622 is: 35,872.62
Step by Step Solution
- Step 1: Write the proportion equation
7,702 : 16,622 = 16,622 : x - Step 2: Convert to fraction form
7,702/16,622 = 16,622/x - Step 3: Cross multiply
7,702x = 16,622 × 16,622 - Step 4: Simplify right side
7,702x = 276,290,884 - Step 5: Solve for x
x = 276,290,884/7,702 - Step 6: Final answer
x = 35,872.62
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.