Finding the Third Proportional to 20,180 and 22,043
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Solution
The third proportional to 20,180 and 22,043 is: 24,077.99
Step by Step Solution
- Step 1: Write the proportion equation
20,180 : 22,043 = 22,043 : x - Step 2: Convert to fraction form
20,180/22,043 = 22,043/x - Step 3: Cross multiply
20,180x = 22,043 × 22,043 - Step 4: Simplify right side
20,180x = 485,893,849 - Step 5: Solve for x
x = 485,893,849/20,180 - Step 6: Final answer
x = 24,077.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.