Finding the Third Proportional to 20,932 and 42,824
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Solution
The third proportional to 20,932 and 42,824 is: 87,612.03
Step by Step Solution
- Step 1: Write the proportion equation
20,932 : 42,824 = 42,824 : x - Step 2: Convert to fraction form
20,932/42,824 = 42,824/x - Step 3: Cross multiply
20,932x = 42,824 × 42,824 - Step 4: Simplify right side
20,932x = 1,833,894,976 - Step 5: Solve for x
x = 1,833,894,976/20,932 - Step 6: Final answer
x = 87,612.03
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.