Finding the Third Proportional to 20,014 and 42,944
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Solution
The third proportional to 20,014 and 42,944 is: 92,144.86
Step by Step Solution
- Step 1: Write the proportion equation
20,014 : 42,944 = 42,944 : x - Step 2: Convert to fraction form
20,014/42,944 = 42,944/x - Step 3: Cross multiply
20,014x = 42,944 × 42,944 - Step 4: Simplify right side
20,014x = 1,844,187,136 - Step 5: Solve for x
x = 1,844,187,136/20,014 - Step 6: Final answer
x = 92,144.86
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.