Finding the Third Proportional to 6,516 and 8,470
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Solution
The third proportional to 6,516 and 8,470 is: 11,009.96
Step by Step Solution
- Step 1: Write the proportion equation
6,516 : 8,470 = 8,470 : x - Step 2: Convert to fraction form
6,516/8,470 = 8,470/x - Step 3: Cross multiply
6,516x = 8,470 × 8,470 - Step 4: Simplify right side
6,516x = 71,740,900 - Step 5: Solve for x
x = 71,740,900/6,516 - Step 6: Final answer
x = 11,009.96
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.