Finding the Third Proportional to 960 and 1,448
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Solution
The third proportional to 960 and 1,448 is: 2,184.07
Step by Step Solution
- Step 1: Write the proportion equation
960 : 1,448 = 1,448 : x - Step 2: Convert to fraction form
960/1,448 = 1,448/x - Step 3: Cross multiply
960x = 1,448 × 1,448 - Step 4: Simplify right side
960x = 2,096,704 - Step 5: Solve for x
x = 2,096,704/960 - Step 6: Final answer
x = 2,184.07
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.