Finding the Third Proportional to 761 and 1,093
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Solution
The third proportional to 761 and 1,093 is: 1,569.84
Step by Step Solution
- Step 1: Write the proportion equation
761 : 1,093 = 1,093 : x - Step 2: Convert to fraction form
761/1,093 = 1,093/x - Step 3: Cross multiply
761x = 1,093 × 1,093 - Step 4: Simplify right side
761x = 1,194,649 - Step 5: Solve for x
x = 1,194,649/761 - Step 6: Final answer
x = 1,569.84
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.