Finding the Third Proportional to 9,870 and 21,147
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Solution
The third proportional to 9,870 and 21,147 is: 45,308.57
Step by Step Solution
- Step 1: Write the proportion equation
9,870 : 21,147 = 21,147 : x - Step 2: Convert to fraction form
9,870/21,147 = 21,147/x - Step 3: Cross multiply
9,870x = 21,147 × 21,147 - Step 4: Simplify right side
9,870x = 447,195,609 - Step 5: Solve for x
x = 447,195,609/9,870 - Step 6: Final answer
x = 45,308.57
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.