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Finding the Third Proportional to 6,165 and 6,696

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Solution

The third proportional to 6,165 and 6,696 is: 7,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165 : 6,696 = 6,696 : x
  2. Step 2: Convert to fraction form
    6,165/6,696 = 6,696/x
  3. Step 3: Cross multiply
    6,165x = 6,696 × 6,696
  4. Step 4: Simplify right side
    6,165x = 44,836,416
  5. Step 5: Solve for x
    x = 44,836,416/6,165
  6. Step 6: Final answer
    x = 7,272.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.