Finding the Third Proportional to 12,870 and 27,846
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Solution
The third proportional to 12,870 and 27,846 is: 60,248.62
Step by Step Solution
- Step 1: Write the proportion equation
12,870 : 27,846 = 27,846 : x - Step 2: Convert to fraction form
12,870/27,846 = 27,846/x - Step 3: Cross multiply
12,870x = 27,846 × 27,846 - Step 4: Simplify right side
12,870x = 775,399,716 - Step 5: Solve for x
x = 775,399,716/12,870 - Step 6: Final answer
x = 60,248.62
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.