Finding the Third Proportional to 1,442.50 and 2,885
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Solution
The third proportional to 1,442.50 and 2,885 is: 5,770
Step by Step Solution
- Step 1: Write the proportion equation
1,442.50 : 2,885 = 2,885 : x - Step 2: Convert to fraction form
1,442.50/2,885 = 2,885/x - Step 3: Cross multiply
1,442.50x = 2,885 × 2,885 - Step 4: Simplify right side
1,442.50x = 8,323,225 - Step 5: Solve for x
x = 8,323,225/1,442.50 - Step 6: Final answer
x = 5,770
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.