Finding the Third Proportional to 9,256 and 19,834
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Solution
The third proportional to 9,256 and 19,834 is: 42,500.82
Step by Step Solution
- Step 1: Write the proportion equation
9,256 : 19,834 = 19,834 : x - Step 2: Convert to fraction form
9,256/19,834 = 19,834/x - Step 3: Cross multiply
9,256x = 19,834 × 19,834 - Step 4: Simplify right side
9,256x = 393,387,556 - Step 5: Solve for x
x = 393,387,556/9,256 - Step 6: Final answer
x = 42,500.82
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.