Finding the Third Proportional to 20,422 and 32,766
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Solution
The third proportional to 20,422 and 32,766 is: 52,571.28
Step by Step Solution
- Step 1: Write the proportion equation
20,422 : 32,766 = 32,766 : x - Step 2: Convert to fraction form
20,422/32,766 = 32,766/x - Step 3: Cross multiply
20,422x = 32,766 × 32,766 - Step 4: Simplify right side
20,422x = 1,073,610,756 - Step 5: Solve for x
x = 1,073,610,756/20,422 - Step 6: Final answer
x = 52,571.28
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.