Finding the Third Proportional to 532 and 1,163
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Solution
The third proportional to 532 and 1,163 is: 2,542.42
Step by Step Solution
- Step 1: Write the proportion equation
532 : 1,163 = 1,163 : x - Step 2: Convert to fraction form
532/1,163 = 1,163/x - Step 3: Cross multiply
532x = 1,163 × 1,163 - Step 4: Simplify right side
532x = 1,352,569 - Step 5: Solve for x
x = 1,352,569/532 - Step 6: Final answer
x = 2,542.42
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.