Finding the Third Proportional to 20,883 and 31,986
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Solution
The third proportional to 20,883 and 31,986 is: 48,992.20
Step by Step Solution
- Step 1: Write the proportion equation
20,883 : 31,986 = 31,986 : x - Step 2: Convert to fraction form
20,883/31,986 = 31,986/x - Step 3: Cross multiply
20,883x = 31,986 × 31,986 - Step 4: Simplify right side
20,883x = 1,023,104,196 - Step 5: Solve for x
x = 1,023,104,196/20,883 - Step 6: Final answer
x = 48,992.20
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.