Finding the Third Proportional to 20,116 and 31,118
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Solution
The third proportional to 20,116 and 31,118 is: 48,137.30
Step by Step Solution
- Step 1: Write the proportion equation
20,116 : 31,118 = 31,118 : x - Step 2: Convert to fraction form
20,116/31,118 = 31,118/x - Step 3: Cross multiply
20,116x = 31,118 × 31,118 - Step 4: Simplify right side
20,116x = 968,329,924 - Step 5: Solve for x
x = 968,329,924/20,116 - Step 6: Final answer
x = 48,137.30
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.