Finding the Third Proportional to 16,123 and 22,834
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Solution
The third proportional to 16,123 and 22,834 is: 32,338.37
Step by Step Solution
- Step 1: Write the proportion equation
16,123 : 22,834 = 22,834 : x - Step 2: Convert to fraction form
16,123/22,834 = 22,834/x - Step 3: Cross multiply
16,123x = 22,834 × 22,834 - Step 4: Simplify right side
16,123x = 521,391,556 - Step 5: Solve for x
x = 521,391,556/16,123 - Step 6: Final answer
x = 32,338.37
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.