Finding the Third Proportional to 24,212 and 37,022
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Solution
The third proportional to 24,212 and 37,022 is: 56,609.47
Step by Step Solution
- Step 1: Write the proportion equation
24,212 : 37,022 = 37,022 : x - Step 2: Convert to fraction form
24,212/37,022 = 37,022/x - Step 3: Cross multiply
24,212x = 37,022 × 37,022 - Step 4: Simplify right side
24,212x = 1,370,628,484 - Step 5: Solve for x
x = 1,370,628,484/24,212 - Step 6: Final answer
x = 56,609.47
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.