Finding the Third Proportional to 10,874 and 14,673
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Solution
The third proportional to 10,874 and 14,673 is: 19,799.24
Step by Step Solution
- Step 1: Write the proportion equation
10,874 : 14,673 = 14,673 : x - Step 2: Convert to fraction form
10,874/14,673 = 14,673/x - Step 3: Cross multiply
10,874x = 14,673 × 14,673 - Step 4: Simplify right side
10,874x = 215,296,929 - Step 5: Solve for x
x = 215,296,929/10,874 - Step 6: Final answer
x = 19,799.24
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.