Finding the Third Proportional to 9,790 and 21,760
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Solution
The third proportional to 9,790 and 21,760 is: 48,365.43
Step by Step Solution
- Step 1: Write the proportion equation
9,790 : 21,760 = 21,760 : x - Step 2: Convert to fraction form
9,790/21,760 = 21,760/x - Step 3: Cross multiply
9,790x = 21,760 × 21,760 - Step 4: Simplify right side
9,790x = 473,497,600 - Step 5: Solve for x
x = 473,497,600/9,790 - Step 6: Final answer
x = 48,365.43
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.