Finding the Third Proportional to 32,410 and 52,922
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Solution
The third proportional to 32,410 and 52,922 is: 86,415.86
Step by Step Solution
- Step 1: Write the proportion equation
32,410 : 52,922 = 52,922 : x - Step 2: Convert to fraction form
32,410/52,922 = 52,922/x - Step 3: Cross multiply
32,410x = 52,922 × 52,922 - Step 4: Simplify right side
32,410x = 2,800,738,084 - Step 5: Solve for x
x = 2,800,738,084/32,410 - Step 6: Final answer
x = 86,415.86
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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.