Finding the Third Proportional to 9,874 and 23,309
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Solution
The third proportional to 9,874 and 23,309 is: 55,024.25
Step by Step Solution
- Step 1: Write the proportion equation
9,874 : 23,309 = 23,309 : x - Step 2: Convert to fraction form
9,874/23,309 = 23,309/x - Step 3: Cross multiply
9,874x = 23,309 × 23,309 - Step 4: Simplify right side
9,874x = 543,309,481 - Step 5: Solve for x
x = 543,309,481/9,874 - Step 6: Final answer
x = 55,024.25
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.