Finding the Third Proportional to 9,834 and 20,748
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Solution
The third proportional to 9,834 and 20,748 is: 43,774.61
Step by Step Solution
- Step 1: Write the proportion equation
9,834 : 20,748 = 20,748 : x - Step 2: Convert to fraction form
9,834/20,748 = 20,748/x - Step 3: Cross multiply
9,834x = 20,748 × 20,748 - Step 4: Simplify right side
9,834x = 430,479,504 - Step 5: Solve for x
x = 430,479,504/9,834 - Step 6: Final answer
x = 43,774.61
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.