Finding the Third Proportional to 9,831 and 21,390
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Solution
The third proportional to 9,831 and 21,390 is: 46,539.73
Step by Step Solution
- Step 1: Write the proportion equation
9,831 : 21,390 = 21,390 : x - Step 2: Convert to fraction form
9,831/21,390 = 21,390/x - Step 3: Cross multiply
9,831x = 21,390 × 21,390 - Step 4: Simplify right side
9,831x = 457,532,100 - Step 5: Solve for x
x = 457,532,100/9,831 - Step 6: Final answer
x = 46,539.73
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.