Finding the Third Proportional to 12,197 and 24,970
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Solution
The third proportional to 12,197 and 24,970 is: 51,119.20
Step by Step Solution
- Step 1: Write the proportion equation
12,197 : 24,970 = 24,970 : x - Step 2: Convert to fraction form
12,197/24,970 = 24,970/x - Step 3: Cross multiply
12,197x = 24,970 × 24,970 - Step 4: Simplify right side
12,197x = 623,500,900 - Step 5: Solve for x
x = 623,500,900/12,197 - Step 6: Final answer
x = 51,119.20
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.