Finding the Third Proportional to 9,808.50 and 21,021
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Solution
The third proportional to 9,808.50 and 21,021 is: 45,050.97
Step by Step Solution
- Step 1: Write the proportion equation
9,808.50 : 21,021 = 21,021 : x - Step 2: Convert to fraction form
9,808.50/21,021 = 21,021/x - Step 3: Cross multiply
9,808.50x = 21,021 × 21,021 - Step 4: Simplify right side
9,808.50x = 441,882,441 - Step 5: Solve for x
x = 441,882,441/9,808.50 - Step 6: Final answer
x = 45,050.97
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.