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Finding the Third Proportional to 6,834.38 and 14,976.75

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Solution

The third proportional to 6,834.38 and 14,976.75 is: 32,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.38 : 14,976.75 = 14,976.75 : x
  2. Step 2: Convert to fraction form
    6,834.38/14,976.75 = 14,976.75/x
  3. Step 3: Cross multiply
    6,834.38x = 14,976.75 × 14,976.75
  4. Step 4: Simplify right side
    6,834.38x = 224,303,040.56
  5. Step 5: Solve for x
    x = 224,303,040.56/6,834.38
  6. Step 6: Final answer
    x = 32,819.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.