Finding the Third Proportional to 22,984 and 32,524
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Solution
The third proportional to 22,984 and 32,524 is: 46,023.78
Step by Step Solution
- Step 1: Write the proportion equation
22,984 : 32,524 = 32,524 : x - Step 2: Convert to fraction form
22,984/32,524 = 32,524/x - Step 3: Cross multiply
22,984x = 32,524 × 32,524 - Step 4: Simplify right side
22,984x = 1,057,810,576 - Step 5: Solve for x
x = 1,057,810,576/22,984 - Step 6: Final answer
x = 46,023.78
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.