Finding the Third Proportional to 20,123 and 21,945
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Solution
The third proportional to 20,123 and 21,945 is: 23,931.97
Step by Step Solution
- Step 1: Write the proportion equation
20,123 : 21,945 = 21,945 : x - Step 2: Convert to fraction form
20,123/21,945 = 21,945/x - Step 3: Cross multiply
20,123x = 21,945 × 21,945 - Step 4: Simplify right side
20,123x = 481,583,025 - Step 5: Solve for x
x = 481,583,025/20,123 - Step 6: Final answer
x = 23,931.97
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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.