Finding the Third Proportional to 13,014 and 30,691
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Solution
The third proportional to 13,014 and 30,691 is: 72,378.78
Step by Step Solution
- Step 1: Write the proportion equation
13,014 : 30,691 = 30,691 : x - Step 2: Convert to fraction form
13,014/30,691 = 30,691/x - Step 3: Cross multiply
13,014x = 30,691 × 30,691 - Step 4: Simplify right side
13,014x = 941,937,481 - Step 5: Solve for x
x = 941,937,481/13,014 - Step 6: Final answer
x = 72,378.78
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.