Finding the Third Proportional to 748 and 859
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Solution
The third proportional to 748 and 859 is: 986.47
Step by Step Solution
- Step 1: Write the proportion equation
748 : 859 = 859 : x - Step 2: Convert to fraction form
748/859 = 859/x - Step 3: Cross multiply
748x = 859 × 859 - Step 4: Simplify right side
748x = 737,881 - Step 5: Solve for x
x = 737,881/748 - Step 6: Final answer
x = 986.47
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.