Finding the Third Proportional to 21,827 and 47,543
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Solution
The third proportional to 21,827 and 47,543 is: 103,556.92
Step by Step Solution
- Step 1: Write the proportion equation
21,827 : 47,543 = 47,543 : x - Step 2: Convert to fraction form
21,827/47,543 = 47,543/x - Step 3: Cross multiply
21,827x = 47,543 × 47,543 - Step 4: Simplify right side
21,827x = 2,260,336,849 - Step 5: Solve for x
x = 2,260,336,849/21,827 - Step 6: Final answer
x = 103,556.92
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.