Finding the Third Proportional to 20,865 and 42,942
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Solution
The third proportional to 20,865 and 42,942 is: 88,378.40
Step by Step Solution
- Step 1: Write the proportion equation
20,865 : 42,942 = 42,942 : x - Step 2: Convert to fraction form
20,865/42,942 = 42,942/x - Step 3: Cross multiply
20,865x = 42,942 × 42,942 - Step 4: Simplify right side
20,865x = 1,844,015,364 - Step 5: Solve for x
x = 1,844,015,364/20,865 - Step 6: Final answer
x = 88,378.40
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.