Finding the Third Proportional to 2,089 and 4,902
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Solution
The third proportional to 2,089 and 4,902 is: 11,502.92
Step by Step Solution
- Step 1: Write the proportion equation
2,089 : 4,902 = 4,902 : x - Step 2: Convert to fraction form
2,089/4,902 = 4,902/x - Step 3: Cross multiply
2,089x = 4,902 × 4,902 - Step 4: Simplify right side
2,089x = 24,029,604 - Step 5: Solve for x
x = 24,029,604/2,089 - Step 6: Final answer
x = 11,502.92
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.