Finding the Third Proportional to 23,756 and 32,214
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Solution
The third proportional to 23,756 and 32,214 is: 43,683.36
Step by Step Solution
- Step 1: Write the proportion equation
23,756 : 32,214 = 32,214 : x - Step 2: Convert to fraction form
23,756/32,214 = 32,214/x - Step 3: Cross multiply
23,756x = 32,214 × 32,214 - Step 4: Simplify right side
23,756x = 1,037,741,796 - Step 5: Solve for x
x = 1,037,741,796/23,756 - Step 6: Final answer
x = 43,683.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.