Finding the Third Proportional to 4,192 and 9,790
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Solution
The third proportional to 4,192 and 9,790 is: 22,863.57
Step by Step Solution
- Step 1: Write the proportion equation
4,192 : 9,790 = 9,790 : x - Step 2: Convert to fraction form
4,192/9,790 = 9,790/x - Step 3: Cross multiply
4,192x = 9,790 × 9,790 - Step 4: Simplify right side
4,192x = 95,844,100 - Step 5: Solve for x
x = 95,844,100/4,192 - Step 6: Final answer
x = 22,863.57
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.