Finding the Third Proportional to 960 and 2,356
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Solution
The third proportional to 960 and 2,356 is: 5,782.02
Step by Step Solution
- Step 1: Write the proportion equation
960 : 2,356 = 2,356 : x - Step 2: Convert to fraction form
960/2,356 = 2,356/x - Step 3: Cross multiply
960x = 2,356 × 2,356 - Step 4: Simplify right side
960x = 5,550,736 - Step 5: Solve for x
x = 5,550,736/960 - Step 6: Final answer
x = 5,782.02
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.