Finding the Third Proportional to 908 and 1,014
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Solution
The third proportional to 908 and 1,014 is: 1,132.37
Step by Step Solution
- Step 1: Write the proportion equation
908 : 1,014 = 1,014 : x - Step 2: Convert to fraction form
908/1,014 = 1,014/x - Step 3: Cross multiply
908x = 1,014 × 1,014 - Step 4: Simplify right side
908x = 1,028,196 - Step 5: Solve for x
x = 1,028,196/908 - Step 6: Final answer
x = 1,132.37
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.