Finding the Third Proportional to 33,242 and 72,740
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Solution
The third proportional to 33,242 and 72,740 is: 159,169.35
Step by Step Solution
- Step 1: Write the proportion equation
33,242 : 72,740 = 72,740 : x - Step 2: Convert to fraction form
33,242/72,740 = 72,740/x - Step 3: Cross multiply
33,242x = 72,740 × 72,740 - Step 4: Simplify right side
33,242x = 5,291,107,600 - Step 5: Solve for x
x = 5,291,107,600/33,242 - Step 6: Final answer
x = 159,169.35
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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.