Finding the Third Proportional to 6,998 and 8,486
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Solution
The third proportional to 6,998 and 8,486 is: 10,290.40
Step by Step Solution
- Step 1: Write the proportion equation
6,998 : 8,486 = 8,486 : x - Step 2: Convert to fraction form
6,998/8,486 = 8,486/x - Step 3: Cross multiply
6,998x = 8,486 × 8,486 - Step 4: Simplify right side
6,998x = 72,012,196 - Step 5: Solve for x
x = 72,012,196/6,998 - Step 6: Final answer
x = 10,290.40
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.