Finding the Third Proportional to 20,514 and 30,765
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Solution
The third proportional to 20,514 and 30,765 is: 46,138.50
Step by Step Solution
- Step 1: Write the proportion equation
20,514 : 30,765 = 30,765 : x - Step 2: Convert to fraction form
20,514/30,765 = 30,765/x - Step 3: Cross multiply
20,514x = 30,765 × 30,765 - Step 4: Simplify right side
20,514x = 946,485,225 - Step 5: Solve for x
x = 946,485,225/20,514 - Step 6: Final answer
x = 46,138.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.