Finding the Third Proportional to 9,832 and 21,860
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Solution
The third proportional to 9,832 and 21,860 is: 48,602.48
Step by Step Solution
- Step 1: Write the proportion equation
9,832 : 21,860 = 21,860 : x - Step 2: Convert to fraction form
9,832/21,860 = 21,860/x - Step 3: Cross multiply
9,832x = 21,860 × 21,860 - Step 4: Simplify right side
9,832x = 477,859,600 - Step 5: Solve for x
x = 477,859,600/9,832 - Step 6: Final answer
x = 48,602.48
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1.5x scale
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.