Finding the Third Proportional to 9,761 and 22,472
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Solution
The third proportional to 9,761 and 22,472 is: 51,735.56
Step by Step Solution
- Step 1: Write the proportion equation
9,761 : 22,472 = 22,472 : x - Step 2: Convert to fraction form
9,761/22,472 = 22,472/x - Step 3: Cross multiply
9,761x = 22,472 × 22,472 - Step 4: Simplify right side
9,761x = 504,990,784 - Step 5: Solve for x
x = 504,990,784/9,761 - Step 6: Final answer
x = 51,735.56
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.