Finding the Third Proportional to 32,414 and 52,928
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Solution
The third proportional to 32,414 and 52,928 is: 86,424.79
Step by Step Solution
- Step 1: Write the proportion equation
32,414 : 52,928 = 52,928 : x - Step 2: Convert to fraction form
32,414/52,928 = 52,928/x - Step 3: Cross multiply
32,414x = 52,928 × 52,928 - Step 4: Simplify right side
32,414x = 2,801,373,184 - Step 5: Solve for x
x = 2,801,373,184/32,414 - Step 6: Final answer
x = 86,424.79
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.