Finding the Third Proportional to 7,964 and 10,346
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Solution
The third proportional to 7,964 and 10,346 is: 13,440.45
Step by Step Solution
- Step 1: Write the proportion equation
7,964 : 10,346 = 10,346 : x - Step 2: Convert to fraction form
7,964/10,346 = 10,346/x - Step 3: Cross multiply
7,964x = 10,346 × 10,346 - Step 4: Simplify right side
7,964x = 107,039,716 - Step 5: Solve for x
x = 107,039,716/7,964 - Step 6: Final answer
x = 13,440.45
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.