Finding the Third Proportional to 901 and 1,027
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Solution
The third proportional to 901 and 1,027 is: 1,170.62
Step by Step Solution
- Step 1: Write the proportion equation
901 : 1,027 = 1,027 : x - Step 2: Convert to fraction form
901/1,027 = 1,027/x - Step 3: Cross multiply
901x = 1,027 × 1,027 - Step 4: Simplify right side
901x = 1,054,729 - Step 5: Solve for x
x = 1,054,729/901 - Step 6: Final answer
x = 1,170.62
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.