Finding the Third Proportional to 752 and 1,096
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Solution
The third proportional to 752 and 1,096 is: 1,597.36
Step by Step Solution
- Step 1: Write the proportion equation
752 : 1,096 = 1,096 : x - Step 2: Convert to fraction form
752/1,096 = 1,096/x - Step 3: Cross multiply
752x = 1,096 × 1,096 - Step 4: Simplify right side
752x = 1,201,216 - Step 5: Solve for x
x = 1,201,216/752 - Step 6: Final answer
x = 1,597.36
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.