Finding the Third Proportional to 21,510 and 24,294
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Solution
The third proportional to 21,510 and 24,294 is: 27,438.33
Step by Step Solution
- Step 1: Write the proportion equation
21,510 : 24,294 = 24,294 : x - Step 2: Convert to fraction form
21,510/24,294 = 24,294/x - Step 3: Cross multiply
21,510x = 24,294 × 24,294 - Step 4: Simplify right side
21,510x = 590,198,436 - Step 5: Solve for x
x = 590,198,436/21,510 - Step 6: Final answer
x = 27,438.33
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.