Finding the Third Proportional to 21,762 and 45,416
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Solution
The third proportional to 21,762 and 45,416 is: 94,780.49
Step by Step Solution
- Step 1: Write the proportion equation
21,762 : 45,416 = 45,416 : x - Step 2: Convert to fraction form
21,762/45,416 = 45,416/x - Step 3: Cross multiply
21,762x = 45,416 × 45,416 - Step 4: Simplify right side
21,762x = 2,062,613,056 - Step 5: Solve for x
x = 2,062,613,056/21,762 - Step 6: Final answer
x = 94,780.49
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.