Finding the Third Proportional to 32,232 and 49,302
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Solution
The third proportional to 32,232 and 49,302 is: 75,412.24
Step by Step Solution
- Step 1: Write the proportion equation
32,232 : 49,302 = 49,302 : x - Step 2: Convert to fraction form
32,232/49,302 = 49,302/x - Step 3: Cross multiply
32,232x = 49,302 × 49,302 - Step 4: Simplify right side
32,232x = 2,430,687,204 - Step 5: Solve for x
x = 2,430,687,204/32,232 - Step 6: Final answer
x = 75,412.24
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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.