Finding the Third Proportional to 21,746 and 47,640
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Solution
The third proportional to 21,746 and 47,640 is: 104,367.22
Step by Step Solution
- Step 1: Write the proportion equation
21,746 : 47,640 = 47,640 : x - Step 2: Convert to fraction form
21,746/47,640 = 47,640/x - Step 3: Cross multiply
21,746x = 47,640 × 47,640 - Step 4: Simplify right side
21,746x = 2,269,569,600 - Step 5: Solve for x
x = 2,269,569,600/21,746 - Step 6: Final answer
x = 104,367.22
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.