Finding the Third Proportional to 20,228 and 41,464
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Solution
The third proportional to 20,228 and 41,464 is: 84,994.23
Step by Step Solution
- Step 1: Write the proportion equation
20,228 : 41,464 = 41,464 : x - Step 2: Convert to fraction form
20,228/41,464 = 41,464/x - Step 3: Cross multiply
20,228x = 41,464 × 41,464 - Step 4: Simplify right side
20,228x = 1,719,263,296 - Step 5: Solve for x
x = 1,719,263,296/20,228 - Step 6: Final answer
x = 84,994.23
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.