Finding the Third Proportional to 7,031 and 8,246
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Solution
The third proportional to 7,031 and 8,246 is: 9,670.96
Step by Step Solution
- Step 1: Write the proportion equation
7,031 : 8,246 = 8,246 : x - Step 2: Convert to fraction form
7,031/8,246 = 8,246/x - Step 3: Cross multiply
7,031x = 8,246 × 8,246 - Step 4: Simplify right side
7,031x = 67,996,516 - Step 5: Solve for x
x = 67,996,516/7,031 - Step 6: Final answer
x = 9,670.96
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Why These Related Problems?
These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.