Finding the Third Proportional to 9,801 and 20,196
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Solution
The third proportional to 9,801 and 20,196 is: 41,616
Step by Step Solution
- Step 1: Write the proportion equation
9,801 : 20,196 = 20,196 : x - Step 2: Convert to fraction form
9,801/20,196 = 20,196/x - Step 3: Cross multiply
9,801x = 20,196 × 20,196 - Step 4: Simplify right side
9,801x = 407,878,416 - Step 5: Solve for x
x = 407,878,416/9,801 - Step 6: Final answer
x = 41,616
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.