Finding the Third Proportional to 21,870 and 32,825.25
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Solution
The third proportional to 21,870 and 32,825.25 is: 49,268.27
Step by Step Solution
- Step 1: Write the proportion equation
21,870 : 32,825.25 = 32,825.25 : x - Step 2: Convert to fraction form
21,870/32,825.25 = 32,825.25/x - Step 3: Cross multiply
21,870x = 32,825.25 × 32,825.25 - Step 4: Simplify right side
21,870x = 1,077,497,037.56 - Step 5: Solve for x
x = 1,077,497,037.56/21,870 - Step 6: Final answer
x = 49,268.27
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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.