Finding the Third Proportional to 10,483 and 22,814
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Solution
The third proportional to 10,483 and 22,814 is: 49,649.78
Step by Step Solution
- Step 1: Write the proportion equation
10,483 : 22,814 = 22,814 : x - Step 2: Convert to fraction form
10,483/22,814 = 22,814/x - Step 3: Cross multiply
10,483x = 22,814 × 22,814 - Step 4: Simplify right side
10,483x = 520,478,596 - Step 5: Solve for x
x = 520,478,596/10,483 - Step 6: Final answer
x = 49,649.78
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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.