Finding the Third Proportional to 20,830 and 45,836
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Solution
The third proportional to 20,830 and 45,836 is: 100,861.20
Step by Step Solution
- Step 1: Write the proportion equation
20,830 : 45,836 = 45,836 : x - Step 2: Convert to fraction form
20,830/45,836 = 45,836/x - Step 3: Cross multiply
20,830x = 45,836 × 45,836 - Step 4: Simplify right side
20,830x = 2,100,938,896 - Step 5: Solve for x
x = 2,100,938,896/20,830 - Step 6: Final answer
x = 100,861.20
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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.