Finding the Third Proportional to 12,824 and 23,728
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Solution
The third proportional to 12,824 and 23,728 is: 43,903.46
Step by Step Solution
- Step 1: Write the proportion equation
12,824 : 23,728 = 23,728 : x - Step 2: Convert to fraction form
12,824/23,728 = 23,728/x - Step 3: Cross multiply
12,824x = 23,728 × 23,728 - Step 4: Simplify right side
12,824x = 563,017,984 - Step 5: Solve for x
x = 563,017,984/12,824 - Step 6: Final answer
x = 43,903.46
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.