Finding the Third Proportional to 9,750 and 19,012
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Solution
The third proportional to 9,750 and 19,012 is: 37,072.43
Step by Step Solution
- Step 1: Write the proportion equation
9,750 : 19,012 = 19,012 : x - Step 2: Convert to fraction form
9,750/19,012 = 19,012/x - Step 3: Cross multiply
9,750x = 19,012 × 19,012 - Step 4: Simplify right side
9,750x = 361,456,144 - Step 5: Solve for x
x = 361,456,144/9,750 - Step 6: Final answer
x = 37,072.43
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.