Finding the Third Proportional to 10,824 and 16,236
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Solution
The third proportional to 10,824 and 16,236 is: 24,354
Step by Step Solution
- Step 1: Write the proportion equation
10,824 : 16,236 = 16,236 : x - Step 2: Convert to fraction form
10,824/16,236 = 16,236/x - Step 3: Cross multiply
10,824x = 16,236 × 16,236 - Step 4: Simplify right side
10,824x = 263,607,696 - Step 5: Solve for x
x = 263,607,696/10,824 - Step 6: Final answer
x = 24,354
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.