Finding the Third Proportional to 22,684 and 30,897
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Solution
The third proportional to 22,684 and 30,897 is: 42,083.61
Step by Step Solution
- Step 1: Write the proportion equation
22,684 : 30,897 = 30,897 : x - Step 2: Convert to fraction form
22,684/30,897 = 30,897/x - Step 3: Cross multiply
22,684x = 30,897 × 30,897 - Step 4: Simplify right side
22,684x = 954,624,609 - Step 5: Solve for x
x = 954,624,609/22,684 - Step 6: Final answer
x = 42,083.61
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.