Finding the Third Proportional to 11,200 and 22,400
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Solution
The third proportional to 11,200 and 22,400 is: 44,800
Step by Step Solution
- Step 1: Write the proportion equation
11,200 : 22,400 = 22,400 : x - Step 2: Convert to fraction form
11,200/22,400 = 22,400/x - Step 3: Cross multiply
11,200x = 22,400 × 22,400 - Step 4: Simplify right side
11,200x = 501,760,000 - Step 5: Solve for x
x = 501,760,000/11,200 - Step 6: Final answer
x = 44,800
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.