Finding the Third Proportional to 13,135 and 19,945
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Solution
The third proportional to 13,135 and 19,945 is: 30,285.73
Step by Step Solution
- Step 1: Write the proportion equation
13,135 : 19,945 = 19,945 : x - Step 2: Convert to fraction form
13,135/19,945 = 19,945/x - Step 3: Cross multiply
13,135x = 19,945 × 19,945 - Step 4: Simplify right side
13,135x = 397,803,025 - Step 5: Solve for x
x = 397,803,025/13,135 - Step 6: Final answer
x = 30,285.73
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.