Finding the Third Proportional to 858 and 1,015
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Solution
The third proportional to 858 and 1,015 is: 1,200.73
Step by Step Solution
- Step 1: Write the proportion equation
858 : 1,015 = 1,015 : x - Step 2: Convert to fraction form
858/1,015 = 1,015/x - Step 3: Cross multiply
858x = 1,015 × 1,015 - Step 4: Simplify right side
858x = 1,030,225 - Step 5: Solve for x
x = 1,030,225/858 - Step 6: Final answer
x = 1,200.73
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.