Finding the Third Proportional to 2,070 and 2,233
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Solution
The third proportional to 2,070 and 2,233 is: 2,408.84
Step by Step Solution
- Step 1: Write the proportion equation
2,070 : 2,233 = 2,233 : x - Step 2: Convert to fraction form
2,070/2,233 = 2,233/x - Step 3: Cross multiply
2,070x = 2,233 × 2,233 - Step 4: Simplify right side
2,070x = 4,986,289 - Step 5: Solve for x
x = 4,986,289/2,070 - Step 6: Final answer
x = 2,408.84
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.