Finding the Third Proportional to 22,832 and 50,016
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Solution
The third proportional to 22,832 and 50,016 is: 109,565.53
Step by Step Solution
- Step 1: Write the proportion equation
22,832 : 50,016 = 50,016 : x - Step 2: Convert to fraction form
22,832/50,016 = 50,016/x - Step 3: Cross multiply
22,832x = 50,016 × 50,016 - Step 4: Simplify right side
22,832x = 2,501,600,256 - Step 5: Solve for x
x = 2,501,600,256/22,832 - Step 6: Final answer
x = 109,565.53
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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.