Finding the Third Proportional to 9,440 and 22,046
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Solution
The third proportional to 9,440 and 22,046 is: 51,485.82
Step by Step Solution
- Step 1: Write the proportion equation
9,440 : 22,046 = 22,046 : x - Step 2: Convert to fraction form
9,440/22,046 = 22,046/x - Step 3: Cross multiply
9,440x = 22,046 × 22,046 - Step 4: Simplify right side
9,440x = 486,026,116 - Step 5: Solve for x
x = 486,026,116/9,440 - Step 6: Final answer
x = 51,485.82
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.