Finding the Third Proportional to 9,224 and 20,014
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Solution
The third proportional to 9,224 and 20,014 is: 43,425.87
Step by Step Solution
- Step 1: Write the proportion equation
9,224 : 20,014 = 20,014 : x - Step 2: Convert to fraction form
9,224/20,014 = 20,014/x - Step 3: Cross multiply
9,224x = 20,014 × 20,014 - Step 4: Simplify right side
9,224x = 400,560,196 - Step 5: Solve for x
x = 400,560,196/9,224 - Step 6: Final answer
x = 43,425.87
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.