Finding the Third Proportional to 34,911 and 76,014
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Solution
The third proportional to 34,911 and 76,014 is: 165,510.25
Step by Step Solution
- Step 1: Write the proportion equation
34,911 : 76,014 = 76,014 : x - Step 2: Convert to fraction form
34,911/76,014 = 76,014/x - Step 3: Cross multiply
34,911x = 76,014 × 76,014 - Step 4: Simplify right side
34,911x = 5,778,128,196 - Step 5: Solve for x
x = 5,778,128,196/34,911 - Step 6: Final answer
x = 165,510.25
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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.