Finding the Third Proportional to 23,920 and 32,836
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Solution
The third proportional to 23,920 and 32,836 is: 45,075.37
Step by Step Solution
- Step 1: Write the proportion equation
23,920 : 32,836 = 32,836 : x - Step 2: Convert to fraction form
23,920/32,836 = 32,836/x - Step 3: Cross multiply
23,920x = 32,836 × 32,836 - Step 4: Simplify right side
23,920x = 1,078,202,896 - Step 5: Solve for x
x = 1,078,202,896/23,920 - Step 6: Final answer
x = 45,075.37
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.