Finding the Third Proportional to 11,536 and 15,864
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Solution
The third proportional to 11,536 and 15,864 is: 21,815.75
Step by Step Solution
- Step 1: Write the proportion equation
11,536 : 15,864 = 15,864 : x - Step 2: Convert to fraction form
11,536/15,864 = 15,864/x - Step 3: Cross multiply
11,536x = 15,864 × 15,864 - Step 4: Simplify right side
11,536x = 251,666,496 - Step 5: Solve for x
x = 251,666,496/11,536 - Step 6: Final answer
x = 21,815.75
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.