Finding the Third Proportional to 9,742 and 21,041
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Solution
The third proportional to 9,742 and 21,041 is: 45,444.85
Step by Step Solution
- Step 1: Write the proportion equation
9,742 : 21,041 = 21,041 : x - Step 2: Convert to fraction form
9,742/21,041 = 21,041/x - Step 3: Cross multiply
9,742x = 21,041 × 21,041 - Step 4: Simplify right side
9,742x = 442,723,681 - Step 5: Solve for x
x = 442,723,681/9,742 - Step 6: Final answer
x = 45,444.85
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.