Finding the Third Proportional to 13,861.50 and 31,422
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Solution
The third proportional to 13,861.50 and 31,422 is: 71,229.09
Step by Step Solution
- Step 1: Write the proportion equation
13,861.50 : 31,422 = 31,422 : x - Step 2: Convert to fraction form
13,861.50/31,422 = 31,422/x - Step 3: Cross multiply
13,861.50x = 31,422 × 31,422 - Step 4: Simplify right side
13,861.50x = 987,342,084 - Step 5: Solve for x
x = 987,342,084/13,861.50 - Step 6: Final answer
x = 71,229.09
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Why These Related Problems?
These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.