Finding the Third Proportional to 2,071 and 2,747
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Solution
The third proportional to 2,071 and 2,747 is: 3,643.65
Step by Step Solution
- Step 1: Write the proportion equation
2,071 : 2,747 = 2,747 : x - Step 2: Convert to fraction form
2,071/2,747 = 2,747/x - Step 3: Cross multiply
2,071x = 2,747 × 2,747 - Step 4: Simplify right side
2,071x = 7,546,009 - Step 5: Solve for x
x = 7,546,009/2,071 - Step 6: Final answer
x = 3,643.65
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.