Finding the Third Proportional to 23,016 and 50,406
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Solution
The third proportional to 23,016 and 50,406 is: 110,391.24
Step by Step Solution
- Step 1: Write the proportion equation
23,016 : 50,406 = 50,406 : x - Step 2: Convert to fraction form
23,016/50,406 = 50,406/x - Step 3: Cross multiply
23,016x = 50,406 × 50,406 - Step 4: Simplify right side
23,016x = 2,540,764,836 - Step 5: Solve for x
x = 2,540,764,836/23,016 - Step 6: Final answer
x = 110,391.24
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.