Finding the Third Proportional to 13,930 and 30,776
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Solution
The third proportional to 13,930 and 30,776 is: 67,994.41
Step by Step Solution
- Step 1: Write the proportion equation
13,930 : 30,776 = 30,776 : x - Step 2: Convert to fraction form
13,930/30,776 = 30,776/x - Step 3: Cross multiply
13,930x = 30,776 × 30,776 - Step 4: Simplify right side
13,930x = 947,162,176 - Step 5: Solve for x
x = 947,162,176/13,930 - Step 6: Final answer
x = 67,994.41
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.