Finding the Third Proportional to 7,146 and 13,932
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Solution
The third proportional to 7,146 and 13,932 is: 27,162.14
Step by Step Solution
- Step 1: Write the proportion equation
7,146 : 13,932 = 13,932 : x - Step 2: Convert to fraction form
7,146/13,932 = 13,932/x - Step 3: Cross multiply
7,146x = 13,932 × 13,932 - Step 4: Simplify right side
7,146x = 194,100,624 - Step 5: Solve for x
x = 194,100,624/7,146 - Step 6: Final answer
x = 27,162.14
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.