Finding the Third Proportional to 9,732 and 21,348
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Solution
The third proportional to 9,732 and 21,348 is: 46,828.72
Step by Step Solution
- Step 1: Write the proportion equation
9,732 : 21,348 = 21,348 : x - Step 2: Convert to fraction form
9,732/21,348 = 21,348/x - Step 3: Cross multiply
9,732x = 21,348 × 21,348 - Step 4: Simplify right side
9,732x = 455,737,104 - Step 5: Solve for x
x = 455,737,104/9,732 - Step 6: Final answer
x = 46,828.72
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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.