Finding the Third Proportional to 17,724 and 24,336
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Solution
The third proportional to 17,724 and 24,336 is: 33,414.63
Step by Step Solution
- Step 1: Write the proportion equation
17,724 : 24,336 = 24,336 : x - Step 2: Convert to fraction form
17,724/24,336 = 24,336/x - Step 3: Cross multiply
17,724x = 24,336 × 24,336 - Step 4: Simplify right side
17,724x = 592,240,896 - Step 5: Solve for x
x = 592,240,896/17,724 - Step 6: Final answer
x = 33,414.63
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.