Finding the Third Proportional to 9,256 and 19,970
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Solution
The third proportional to 9,256 and 19,970 is: 43,085.66
Step by Step Solution
- Step 1: Write the proportion equation
9,256 : 19,970 = 19,970 : x - Step 2: Convert to fraction form
9,256/19,970 = 19,970/x - Step 3: Cross multiply
9,256x = 19,970 × 19,970 - Step 4: Simplify right side
9,256x = 398,800,900 - Step 5: Solve for x
x = 398,800,900/9,256 - Step 6: Final answer
x = 43,085.66
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.