Finding the Third Proportional to 6,819 and 9,651
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Solution
The third proportional to 6,819 and 9,651 is: 13,659.16
Step by Step Solution
- Step 1: Write the proportion equation
6,819 : 9,651 = 9,651 : x - Step 2: Convert to fraction form
6,819/9,651 = 9,651/x - Step 3: Cross multiply
6,819x = 9,651 × 9,651 - Step 4: Simplify right side
6,819x = 93,141,801 - Step 5: Solve for x
x = 93,141,801/6,819 - Step 6: Final answer
x = 13,659.16
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.