Finding the Third Proportional to 19,822 and 30,792
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Solution
The third proportional to 19,822 and 30,792 is: 47,833.08
Step by Step Solution
- Step 1: Write the proportion equation
19,822 : 30,792 = 30,792 : x - Step 2: Convert to fraction form
19,822/30,792 = 30,792/x - Step 3: Cross multiply
19,822x = 30,792 × 30,792 - Step 4: Simplify right side
19,822x = 948,147,264 - Step 5: Solve for x
x = 948,147,264/19,822 - Step 6: Final answer
x = 47,833.08
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.