Finding the Third Proportional to 21,846 and 24,114
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Solution
The third proportional to 21,846 and 24,114 is: 26,617.46
Step by Step Solution
- Step 1: Write the proportion equation
21,846 : 24,114 = 24,114 : x - Step 2: Convert to fraction form
21,846/24,114 = 24,114/x - Step 3: Cross multiply
21,846x = 24,114 × 24,114 - Step 4: Simplify right side
21,846x = 581,484,996 - Step 5: Solve for x
x = 581,484,996/21,846 - Step 6: Final answer
x = 26,617.46
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.