Finding the Third Proportional to 2,069 and 2,249
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Solution
The third proportional to 2,069 and 2,249 is: 2,444.66
Step by Step Solution
- Step 1: Write the proportion equation
2,069 : 2,249 = 2,249 : x - Step 2: Convert to fraction form
2,069/2,249 = 2,249/x - Step 3: Cross multiply
2,069x = 2,249 × 2,249 - Step 4: Simplify right side
2,069x = 5,058,001 - Step 5: Solve for x
x = 5,058,001/2,069 - Step 6: Final answer
x = 2,444.66
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.