Finding the Third Proportional to 9,744 and 21,339
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Solution
The third proportional to 9,744 and 21,339 is: 46,731.62
Step by Step Solution
- Step 1: Write the proportion equation
9,744 : 21,339 = 21,339 : x - Step 2: Convert to fraction form
9,744/21,339 = 21,339/x - Step 3: Cross multiply
9,744x = 21,339 × 21,339 - Step 4: Simplify right side
9,744x = 455,352,921 - Step 5: Solve for x
x = 455,352,921/9,744 - Step 6: Final answer
x = 46,731.62
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.