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Finding the Third Proportional to 4,249.97 and 4,834.69

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Solution

The third proportional to 4,249.97 and 4,834.69 is: 5,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.97 : 4,834.69 = 4,834.69 : x
  2. Step 2: Convert to fraction form
    4,249.97/4,834.69 = 4,834.69/x
  3. Step 3: Cross multiply
    4,249.97x = 4,834.69 × 4,834.69
  4. Step 4: Simplify right side
    4,249.97x = 23,374,203.22
  5. Step 5: Solve for x
    x = 23,374,203.22/4,249.97
  6. Step 6: Final answer
    x = 5,499.85

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.