Finding the Third Proportional to 860 and 2,016
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Solution
The third proportional to 860 and 2,016 is: 4,725.88
Step by Step Solution
- Step 1: Write the proportion equation
860 : 2,016 = 2,016 : x - Step 2: Convert to fraction form
860/2,016 = 2,016/x - Step 3: Cross multiply
860x = 2,016 × 2,016 - Step 4: Simplify right side
860x = 4,064,256 - Step 5: Solve for x
x = 4,064,256/860 - Step 6: Final answer
x = 4,725.88
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.