Finding the Third Proportional to 47,154 and 70,733
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Solution
The third proportional to 47,154 and 70,733 is: 106,102.50
Step by Step Solution
- Step 1: Write the proportion equation
47,154 : 70,733 = 70,733 : x - Step 2: Convert to fraction form
47,154/70,733 = 70,733/x - Step 3: Cross multiply
47,154x = 70,733 × 70,733 - Step 4: Simplify right side
47,154x = 5,003,157,289 - Step 5: Solve for x
x = 5,003,157,289/47,154 - Step 6: Final answer
x = 106,102.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.