Finding the Third Proportional to 12,824 and 28,941
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Solution
The third proportional to 12,824 and 28,941 is: 65,313.59
Step by Step Solution
- Step 1: Write the proportion equation
12,824 : 28,941 = 28,941 : x - Step 2: Convert to fraction form
12,824/28,941 = 28,941/x - Step 3: Cross multiply
12,824x = 28,941 × 28,941 - Step 4: Simplify right side
12,824x = 837,581,481 - Step 5: Solve for x
x = 837,581,481/12,824 - Step 6: Final answer
x = 65,313.59
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.