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Finding the Third Proportional to 6,738.19 and 8,236.69

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Solution

The third proportional to 6,738.19 and 8,236.69 is: 10,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.19 : 8,236.69 = 8,236.69 : x
  2. Step 2: Convert to fraction form
    6,738.19/8,236.69 = 8,236.69/x
  3. Step 3: Cross multiply
    6,738.19x = 8,236.69 × 8,236.69
  4. Step 4: Simplify right side
    6,738.19x = 67,843,020.97
  5. Step 5: Solve for x
    x = 67,843,020.97/6,738.19
  6. Step 6: Final answer
    x = 10,068.44

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.