Finding the Third Proportional to 9,800 and 23,128
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Solution
The third proportional to 9,800 and 23,128 is: 54,582.08
Step by Step Solution
- Step 1: Write the proportion equation
9,800 : 23,128 = 23,128 : x - Step 2: Convert to fraction form
9,800/23,128 = 23,128/x - Step 3: Cross multiply
9,800x = 23,128 × 23,128 - Step 4: Simplify right side
9,800x = 534,904,384 - Step 5: Solve for x
x = 534,904,384/9,800 - Step 6: Final answer
x = 54,582.08
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.