Finding the Third Proportional to 12,824 and 14,552
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Solution
The third proportional to 12,824 and 14,552 is: 16,512.84
Step by Step Solution
- Step 1: Write the proportion equation
12,824 : 14,552 = 14,552 : x - Step 2: Convert to fraction form
12,824/14,552 = 14,552/x - Step 3: Cross multiply
12,824x = 14,552 × 14,552 - Step 4: Simplify right side
12,824x = 211,760,704 - Step 5: Solve for x
x = 211,760,704/12,824 - Step 6: Final answer
x = 16,512.84
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.