Finding the Third Proportional to 9,114 and 19,827
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Solution
The third proportional to 9,114 and 19,827 is: 43,132.54
Step by Step Solution
- Step 1: Write the proportion equation
9,114 : 19,827 = 19,827 : x - Step 2: Convert to fraction form
9,114/19,827 = 19,827/x - Step 3: Cross multiply
9,114x = 19,827 × 19,827 - Step 4: Simplify right side
9,114x = 393,109,929 - Step 5: Solve for x
x = 393,109,929/9,114 - Step 6: Final answer
x = 43,132.54
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.