Finding the Third Proportional to 20,800 and 45,488
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Solution
The third proportional to 20,800 and 45,488 is: 99,478.76
Step by Step Solution
- Step 1: Write the proportion equation
20,800 : 45,488 = 45,488 : x - Step 2: Convert to fraction form
20,800/45,488 = 45,488/x - Step 3: Cross multiply
20,800x = 45,488 × 45,488 - Step 4: Simplify right side
20,800x = 2,069,158,144 - Step 5: Solve for x
x = 2,069,158,144/20,800 - Step 6: Final answer
x = 99,478.76
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.