Finding the Third Proportional to 960 and 1,846
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Solution
The third proportional to 960 and 1,846 is: 3,549.70
Step by Step Solution
- Step 1: Write the proportion equation
960 : 1,846 = 1,846 : x - Step 2: Convert to fraction form
960/1,846 = 1,846/x - Step 3: Cross multiply
960x = 1,846 × 1,846 - Step 4: Simplify right side
960x = 3,407,716 - Step 5: Solve for x
x = 3,407,716/960 - Step 6: Final answer
x = 3,549.70
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.