Finding the Third Proportional to 21,972 and 24,384
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Solution
The third proportional to 21,972 and 24,384 is: 27,060.78
Step by Step Solution
- Step 1: Write the proportion equation
21,972 : 24,384 = 24,384 : x - Step 2: Convert to fraction form
21,972/24,384 = 24,384/x - Step 3: Cross multiply
21,972x = 24,384 × 24,384 - Step 4: Simplify right side
21,972x = 594,579,456 - Step 5: Solve for x
x = 594,579,456/21,972 - Step 6: Final answer
x = 27,060.78
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.