Finding the Third Proportional to 30,226 and 64,112
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Solution
The third proportional to 30,226 and 64,112 is: 135,987.18
Step by Step Solution
- Step 1: Write the proportion equation
30,226 : 64,112 = 64,112 : x - Step 2: Convert to fraction form
30,226/64,112 = 64,112/x - Step 3: Cross multiply
30,226x = 64,112 × 64,112 - Step 4: Simplify right side
30,226x = 4,110,348,544 - Step 5: Solve for x
x = 4,110,348,544/30,226 - Step 6: Final answer
x = 135,987.18
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.