Finding the Third Proportional to 30,982 and 49,242
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Solution
The third proportional to 30,982 and 49,242 is: 78,263.98
Step by Step Solution
- Step 1: Write the proportion equation
30,982 : 49,242 = 49,242 : x - Step 2: Convert to fraction form
30,982/49,242 = 49,242/x - Step 3: Cross multiply
30,982x = 49,242 × 49,242 - Step 4: Simplify right side
30,982x = 2,424,774,564 - Step 5: Solve for x
x = 2,424,774,564/30,982 - Step 6: Final answer
x = 78,263.98
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.