Finding the Third Proportional to 12,984 and 14,648
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Solution
The third proportional to 12,984 and 14,648 is: 16,525.25
Step by Step Solution
- Step 1: Write the proportion equation
12,984 : 14,648 = 14,648 : x - Step 2: Convert to fraction form
12,984/14,648 = 14,648/x - Step 3: Cross multiply
12,984x = 14,648 × 14,648 - Step 4: Simplify right side
12,984x = 214,563,904 - Step 5: Solve for x
x = 214,563,904/12,984 - Step 6: Final answer
x = 16,525.25
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.