Finding the Third Proportional to 22,168 and 32,425
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Solution
The third proportional to 22,168 and 32,425 is: 47,427.85
Step by Step Solution
- Step 1: Write the proportion equation
22,168 : 32,425 = 32,425 : x - Step 2: Convert to fraction form
22,168/32,425 = 32,425/x - Step 3: Cross multiply
22,168x = 32,425 × 32,425 - Step 4: Simplify right side
22,168x = 1,051,380,625 - Step 5: Solve for x
x = 1,051,380,625/22,168 - Step 6: Final answer
x = 47,427.85
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.