Finding the Third Proportional to 829 and 829
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Solution
The third proportional to 829 and 829 is: 829
Step by Step Solution
- Step 1: Write the proportion equation
829 : 829 = 829 : x - Step 2: Convert to fraction form
829/829 = 829/x - Step 3: Cross multiply
829x = 829 × 829 - Step 4: Simplify right side
829x = 687,241 - Step 5: Solve for x
x = 687,241/829 - Step 6: Final answer
x = 829
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Why These Related Problems?
These problems maintain the same ratio (1) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.