Finding the Third Proportional to 17,496 and 22,884
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Solution
The third proportional to 17,496 and 22,884 is: 29,931.27
Step by Step Solution
- Step 1: Write the proportion equation
17,496 : 22,884 = 22,884 : x - Step 2: Convert to fraction form
17,496/22,884 = 22,884/x - Step 3: Cross multiply
17,496x = 22,884 × 22,884 - Step 4: Simplify right side
17,496x = 523,677,456 - Step 5: Solve for x
x = 523,677,456/17,496 - Step 6: Final answer
x = 29,931.27
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.