Finding the Third Proportional to 9,760 and 22,912
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Solution
The third proportional to 9,760 and 22,912 is: 53,786.86
Step by Step Solution
- Step 1: Write the proportion equation
9,760 : 22,912 = 22,912 : x - Step 2: Convert to fraction form
9,760/22,912 = 22,912/x - Step 3: Cross multiply
9,760x = 22,912 × 22,912 - Step 4: Simplify right side
9,760x = 524,959,744 - Step 5: Solve for x
x = 524,959,744/9,760 - Step 6: Final answer
x = 53,786.86
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.