Finding the Third Proportional to 12,409.88 and 24,197.06
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Solution
The third proportional to 12,409.88 and 24,197.06 is: 47,179.99
Step by Step Solution
- Step 1: Write the proportion equation
12,409.88 : 24,197.06 = 24,197.06 : x - Step 2: Convert to fraction form
12,409.88/24,197.06 = 24,197.06/x - Step 3: Cross multiply
12,409.88x = 24,197.06 × 24,197.06 - Step 4: Simplify right side
12,409.88x = 585,497,833.63 - Step 5: Solve for x
x = 585,497,833.63/12,409.88 - Step 6: Final answer
x = 47,179.99
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.