Finding the Third Proportional to 13,382 and 21,376
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Solution
The third proportional to 13,382 and 21,376 is: 34,145.37
Step by Step Solution
- Step 1: Write the proportion equation
13,382 : 21,376 = 21,376 : x - Step 2: Convert to fraction form
13,382/21,376 = 21,376/x - Step 3: Cross multiply
13,382x = 21,376 × 21,376 - Step 4: Simplify right side
13,382x = 456,933,376 - Step 5: Solve for x
x = 456,933,376/13,382 - Step 6: Final answer
x = 34,145.37
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.