Finding the Third Proportional to 9,690 and 20,784
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Solution
The third proportional to 9,690 and 20,784 is: 44,579.43
Step by Step Solution
- Step 1: Write the proportion equation
9,690 : 20,784 = 20,784 : x - Step 2: Convert to fraction form
9,690/20,784 = 20,784/x - Step 3: Cross multiply
9,690x = 20,784 × 20,784 - Step 4: Simplify right side
9,690x = 431,974,656 - Step 5: Solve for x
x = 431,974,656/9,690 - Step 6: Final answer
x = 44,579.43
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.