Finding the Third Proportional to 9,822 and 20,859
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Solution
The third proportional to 9,822 and 20,859 is: 44,298.30
Step by Step Solution
- Step 1: Write the proportion equation
9,822 : 20,859 = 20,859 : x - Step 2: Convert to fraction form
9,822/20,859 = 20,859/x - Step 3: Cross multiply
9,822x = 20,859 × 20,859 - Step 4: Simplify right side
9,822x = 435,097,881 - Step 5: Solve for x
x = 435,097,881/9,822 - Step 6: Final answer
x = 44,298.30
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.