Finding the Third Proportional to 9,944 and 21,872
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Solution
The third proportional to 9,944 and 21,872 is: 48,107.84
Step by Step Solution
- Step 1: Write the proportion equation
9,944 : 21,872 = 21,872 : x - Step 2: Convert to fraction form
9,944/21,872 = 21,872/x - Step 3: Cross multiply
9,944x = 21,872 × 21,872 - Step 4: Simplify right side
9,944x = 478,384,384 - Step 5: Solve for x
x = 478,384,384/9,944 - Step 6: Final answer
x = 48,107.84
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.