Finding the Third Proportional to 9,806 and 20,995
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Solution
The third proportional to 9,806 and 20,995 is: 44,951.05
Step by Step Solution
- Step 1: Write the proportion equation
9,806 : 20,995 = 20,995 : x - Step 2: Convert to fraction form
9,806/20,995 = 20,995/x - Step 3: Cross multiply
9,806x = 20,995 × 20,995 - Step 4: Simplify right side
9,806x = 440,790,025 - Step 5: Solve for x
x = 440,790,025/9,806 - Step 6: Final answer
x = 44,951.05
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.