Finding the Third Proportional to 9,747 and 21,051
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Solution
The third proportional to 9,747 and 21,051 is: 45,464.72
Step by Step Solution
- Step 1: Write the proportion equation
9,747 : 21,051 = 21,051 : x - Step 2: Convert to fraction form
9,747/21,051 = 21,051/x - Step 3: Cross multiply
9,747x = 21,051 × 21,051 - Step 4: Simplify right side
9,747x = 443,144,601 - Step 5: Solve for x
x = 443,144,601/9,747 - Step 6: Final answer
x = 45,464.72
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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.