Finding the Third Proportional to 9,724 and 21,392
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Solution
The third proportional to 9,724 and 21,392 is: 47,060.64
Step by Step Solution
- Step 1: Write the proportion equation
9,724 : 21,392 = 21,392 : x - Step 2: Convert to fraction form
9,724/21,392 = 21,392/x - Step 3: Cross multiply
9,724x = 21,392 × 21,392 - Step 4: Simplify right side
9,724x = 457,617,664 - Step 5: Solve for x
x = 457,617,664/9,724 - Step 6: Final answer
x = 47,060.64
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.