Finding the Third Proportional to 21,496 and 32,370
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Solution
The third proportional to 21,496 and 32,370 is: 48,744.74
Step by Step Solution
- Step 1: Write the proportion equation
21,496 : 32,370 = 32,370 : x - Step 2: Convert to fraction form
21,496/32,370 = 32,370/x - Step 3: Cross multiply
21,496x = 32,370 × 32,370 - Step 4: Simplify right side
21,496x = 1,047,816,900 - Step 5: Solve for x
x = 1,047,816,900/21,496 - Step 6: Final answer
x = 48,744.74
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.