Finding the Third Proportional to 7,023 and 8,247
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Solution
The third proportional to 7,023 and 8,247 is: 9,684.32
Step by Step Solution
- Step 1: Write the proportion equation
7,023 : 8,247 = 8,247 : x - Step 2: Convert to fraction form
7,023/8,247 = 8,247/x - Step 3: Cross multiply
7,023x = 8,247 × 8,247 - Step 4: Simplify right side
7,023x = 68,013,009 - Step 5: Solve for x
x = 68,013,009/7,023 - Step 6: Final answer
x = 9,684.32
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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.