Finding the Third Proportional to 5,460 and 6,027
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Solution
The third proportional to 5,460 and 6,027 is: 6,652.88
Step by Step Solution
- Step 1: Write the proportion equation
5,460 : 6,027 = 6,027 : x - Step 2: Convert to fraction form
5,460/6,027 = 6,027/x - Step 3: Cross multiply
5,460x = 6,027 × 6,027 - Step 4: Simplify right side
5,460x = 36,324,729 - Step 5: Solve for x
x = 36,324,729/5,460 - Step 6: Final answer
x = 6,652.88
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.