Finding the Third Proportional to 16,500 and 23,838
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Solution
The third proportional to 16,500 and 23,838 is: 34,439.41
Step by Step Solution
- Step 1: Write the proportion equation
16,500 : 23,838 = 23,838 : x - Step 2: Convert to fraction form
16,500/23,838 = 23,838/x - Step 3: Cross multiply
16,500x = 23,838 × 23,838 - Step 4: Simplify right side
16,500x = 568,250,244 - Step 5: Solve for x
x = 568,250,244/16,500 - Step 6: Final answer
x = 34,439.41
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.