Finding the Third Proportional to 10,807 and 23,281
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Solution
The third proportional to 10,807 and 23,281 is: 50,153.14
Step by Step Solution
- Step 1: Write the proportion equation
10,807 : 23,281 = 23,281 : x - Step 2: Convert to fraction form
10,807/23,281 = 23,281/x - Step 3: Cross multiply
10,807x = 23,281 × 23,281 - Step 4: Simplify right side
10,807x = 542,004,961 - Step 5: Solve for x
x = 542,004,961/10,807 - Step 6: Final answer
x = 50,153.14
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.