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Finding the Third Proportional to 6,834.38 and 8,974.13

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Solution

The third proportional to 6,834.38 and 8,974.13 is: 11,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.38 : 8,974.13 = 8,974.13 : x
  2. Step 2: Convert to fraction form
    6,834.38/8,974.13 = 8,974.13/x
  3. Step 3: Cross multiply
    6,834.38x = 8,974.13 × 8,974.13
  4. Step 4: Simplify right side
    6,834.38x = 80,534,919.52
  5. Step 5: Solve for x
    x = 80,534,919.52/6,834.38
  6. Step 6: Final answer
    x = 11,783.80

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.