Finding the Third Proportional to 21,806 and 47,761
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Solution
The third proportional to 21,806 and 47,761 is: 104,609.42
Step by Step Solution
- Step 1: Write the proportion equation
21,806 : 47,761 = 47,761 : x - Step 2: Convert to fraction form
21,806/47,761 = 47,761/x - Step 3: Cross multiply
21,806x = 47,761 × 47,761 - Step 4: Simplify right side
21,806x = 2,281,113,121 - Step 5: Solve for x
x = 2,281,113,121/21,806 - Step 6: Final answer
x = 104,609.42
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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.