Finding the Third Proportional to 23,218 and 41,828
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Solution
The third proportional to 23,218 and 41,828 is: 75,354.53
Step by Step Solution
- Step 1: Write the proportion equation
23,218 : 41,828 = 41,828 : x - Step 2: Convert to fraction form
23,218/41,828 = 41,828/x - Step 3: Cross multiply
23,218x = 41,828 × 41,828 - Step 4: Simplify right side
23,218x = 1,749,581,584 - Step 5: Solve for x
x = 1,749,581,584/23,218 - Step 6: Final answer
x = 75,354.53
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.