Finding the Third Proportional to 21,342 and 32,022
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Solution
The third proportional to 21,342 and 32,022 is: 48,046.50
Step by Step Solution
- Step 1: Write the proportion equation
21,342 : 32,022 = 32,022 : x - Step 2: Convert to fraction form
21,342/32,022 = 32,022/x - Step 3: Cross multiply
21,342x = 32,022 × 32,022 - Step 4: Simplify right side
21,342x = 1,025,408,484 - Step 5: Solve for x
x = 1,025,408,484/21,342 - Step 6: Final answer
x = 48,046.50
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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.