Finding the Third Proportional to 9,870 and 20,964
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Solution
The third proportional to 9,870 and 20,964 is: 44,527.79
Step by Step Solution
- Step 1: Write the proportion equation
9,870 : 20,964 = 20,964 : x - Step 2: Convert to fraction form
9,870/20,964 = 20,964/x - Step 3: Cross multiply
9,870x = 20,964 × 20,964 - Step 4: Simplify right side
9,870x = 439,489,296 - Step 5: Solve for x
x = 439,489,296/9,870 - Step 6: Final answer
x = 44,527.79
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.