Finding the Third Proportional to 22,024 and 33,142
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Solution
The third proportional to 22,024 and 33,142 is: 49,872.51
Step by Step Solution
- Step 1: Write the proportion equation
22,024 : 33,142 = 33,142 : x - Step 2: Convert to fraction form
22,024/33,142 = 33,142/x - Step 3: Cross multiply
22,024x = 33,142 × 33,142 - Step 4: Simplify right side
22,024x = 1,098,392,164 - Step 5: Solve for x
x = 1,098,392,164/22,024 - Step 6: Final answer
x = 49,872.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.