Finding the Third Proportional to 9,481 and 14,222
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Solution
The third proportional to 9,481 and 14,222 is: 21,333.75
Step by Step Solution
- Step 1: Write the proportion equation
9,481 : 14,222 = 14,222 : x - Step 2: Convert to fraction form
9,481/14,222 = 14,222/x - Step 3: Cross multiply
9,481x = 14,222 × 14,222 - Step 4: Simplify right side
9,481x = 202,265,284 - Step 5: Solve for x
x = 202,265,284/9,481 - Step 6: Final answer
x = 21,333.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.