Finding the Third Proportional to 9,851 and 21,874
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Solution
The third proportional to 9,851 and 21,874 is: 48,570.89
Step by Step Solution
- Step 1: Write the proportion equation
9,851 : 21,874 = 21,874 : x - Step 2: Convert to fraction form
9,851/21,874 = 21,874/x - Step 3: Cross multiply
9,851x = 21,874 × 21,874 - Step 4: Simplify right side
9,851x = 478,471,876 - Step 5: Solve for x
x = 478,471,876/9,851 - Step 6: Final answer
x = 48,570.89
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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.