Finding the Third Proportional to 9,816 and 21,528
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Solution
The third proportional to 9,816 and 21,528 is: 47,214.22
Step by Step Solution
- Step 1: Write the proportion equation
9,816 : 21,528 = 21,528 : x - Step 2: Convert to fraction form
9,816/21,528 = 21,528/x - Step 3: Cross multiply
9,816x = 21,528 × 21,528 - Step 4: Simplify right side
9,816x = 463,454,784 - Step 5: Solve for x
x = 463,454,784/9,816 - Step 6: Final answer
x = 47,214.22
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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.