Finding the Third Proportional to 21,423 and 45,843
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Solution
The third proportional to 21,423 and 45,843 is: 98,099.27
Step by Step Solution
- Step 1: Write the proportion equation
21,423 : 45,843 = 45,843 : x - Step 2: Convert to fraction form
21,423/45,843 = 45,843/x - Step 3: Cross multiply
21,423x = 45,843 × 45,843 - Step 4: Simplify right side
21,423x = 2,101,580,649 - Step 5: Solve for x
x = 2,101,580,649/21,423 - Step 6: Final answer
x = 98,099.27
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.