Finding the Third Proportional to 13,568 and 31,700
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Solution
The third proportional to 13,568 and 31,700 is: 74,063.24
Step by Step Solution
- Step 1: Write the proportion equation
13,568 : 31,700 = 31,700 : x - Step 2: Convert to fraction form
13,568/31,700 = 31,700/x - Step 3: Cross multiply
13,568x = 31,700 × 31,700 - Step 4: Simplify right side
13,568x = 1,004,890,000 - Step 5: Solve for x
x = 1,004,890,000/13,568 - Step 6: Final answer
x = 74,063.24
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.