Finding the Third Proportional to 7,722 and 18,225
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Solution
The third proportional to 7,722 and 18,225 is: 43,013.55
Step by Step Solution
- Step 1: Write the proportion equation
7,722 : 18,225 = 18,225 : x - Step 2: Convert to fraction form
7,722/18,225 = 18,225/x - Step 3: Cross multiply
7,722x = 18,225 × 18,225 - Step 4: Simplify right side
7,722x = 332,150,625 - Step 5: Solve for x
x = 332,150,625/7,722 - Step 6: Final answer
x = 43,013.55
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.