Finding the Third Proportional to 11,507 and 24,653
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Solution
The third proportional to 11,507 and 24,653 is: 52,817.45
Step by Step Solution
- Step 1: Write the proportion equation
11,507 : 24,653 = 24,653 : x - Step 2: Convert to fraction form
11,507/24,653 = 24,653/x - Step 3: Cross multiply
11,507x = 24,653 × 24,653 - Step 4: Simplify right side
11,507x = 607,770,409 - Step 5: Solve for x
x = 607,770,409/11,507 - Step 6: Final answer
x = 52,817.45
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.