Finding the Third Proportional to 32,276 and 70,774
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Solution
The third proportional to 32,276 and 70,774 is: 155,191.44
Step by Step Solution
- Step 1: Write the proportion equation
32,276 : 70,774 = 70,774 : x - Step 2: Convert to fraction form
32,276/70,774 = 70,774/x - Step 3: Cross multiply
32,276x = 70,774 × 70,774 - Step 4: Simplify right side
32,276x = 5,008,959,076 - Step 5: Solve for x
x = 5,008,959,076/32,276 - Step 6: Final answer
x = 155,191.44
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.