Finding the Third Proportional to 24,405 and 49,962
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Solution
The third proportional to 24,405 and 49,962 is: 102,282.38
Step by Step Solution
- Step 1: Write the proportion equation
24,405 : 49,962 = 49,962 : x - Step 2: Convert to fraction form
24,405/49,962 = 49,962/x - Step 3: Cross multiply
24,405x = 49,962 × 49,962 - Step 4: Simplify right side
24,405x = 2,496,201,444 - Step 5: Solve for x
x = 2,496,201,444/24,405 - Step 6: Final answer
x = 102,282.38
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.