Finding the Third Proportional to 9,416 and 22,306
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Solution
The third proportional to 9,416 and 22,306 is: 52,841.72
Step by Step Solution
- Step 1: Write the proportion equation
9,416 : 22,306 = 22,306 : x - Step 2: Convert to fraction form
9,416/22,306 = 22,306/x - Step 3: Cross multiply
9,416x = 22,306 × 22,306 - Step 4: Simplify right side
9,416x = 497,557,636 - Step 5: Solve for x
x = 497,557,636/9,416 - Step 6: Final answer
x = 52,841.72
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.