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Finding the Third Proportional to 6,834.38 and 14,249.25

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Solution

The third proportional to 6,834.38 and 14,249.25 is: 29,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.38 : 14,249.25 = 14,249.25 : x
  2. Step 2: Convert to fraction form
    6,834.38/14,249.25 = 14,249.25/x
  3. Step 3: Cross multiply
    6,834.38x = 14,249.25 × 14,249.25
  4. Step 4: Simplify right side
    6,834.38x = 203,041,125.56
  5. Step 5: Solve for x
    x = 203,041,125.56/6,834.38
  6. Step 6: Final answer
    x = 29,708.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.