Finding the Third Proportional to 12,224 and 23,840
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Solution
The third proportional to 12,224 and 23,840 is: 46,494.24
Step by Step Solution
- Step 1: Write the proportion equation
12,224 : 23,840 = 23,840 : x - Step 2: Convert to fraction form
12,224/23,840 = 23,840/x - Step 3: Cross multiply
12,224x = 23,840 × 23,840 - Step 4: Simplify right side
12,224x = 568,345,600 - Step 5: Solve for x
x = 568,345,600/12,224 - Step 6: Final answer
x = 46,494.24
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.