Finding the Third Proportional to 9,460 and 20,648
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Solution
The third proportional to 9,460 and 20,648 is: 45,067.64
Step by Step Solution
- Step 1: Write the proportion equation
9,460 : 20,648 = 20,648 : x - Step 2: Convert to fraction form
9,460/20,648 = 20,648/x - Step 3: Cross multiply
9,460x = 20,648 × 20,648 - Step 4: Simplify right side
9,460x = 426,339,904 - Step 5: Solve for x
x = 426,339,904/9,460 - Step 6: Final answer
x = 45,067.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.