Finding the Third Proportional to 32 and 85.25
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Solution
The third proportional to 32 and 85.25 is: 227.11
Step by Step Solution
- Step 1: Write the proportion equation
32 : 85.25 = 85.25 : x - Step 2: Convert to fraction form
32/85.25 = 85.25/x - Step 3: Cross multiply
32x = 85.25 × 85.25 - Step 4: Simplify right side
32x = 7,267.56 - Step 5: Solve for x
x = 7,267.56/32 - Step 6: Final answer
x = 227.11
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Why These Related Problems?
These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.