Finding the Third Proportional to 960 and 1,168
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Solution
The third proportional to 960 and 1,168 is: 1,421.07
Step by Step Solution
- Step 1: Write the proportion equation
960 : 1,168 = 1,168 : x - Step 2: Convert to fraction form
960/1,168 = 1,168/x - Step 3: Cross multiply
960x = 1,168 × 1,168 - Step 4: Simplify right side
960x = 1,364,224 - Step 5: Solve for x
x = 1,364,224/960 - Step 6: Final answer
x = 1,421.07
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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.