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Finding the Third Proportional to 4,676.20 and 6,839.86

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Solution

The third proportional to 4,676.20 and 6,839.86 is: 10,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.20 : 6,839.86 = 6,839.86 : x
  2. Step 2: Convert to fraction form
    4,676.20/6,839.86 = 6,839.86/x
  3. Step 3: Cross multiply
    4,676.20x = 6,839.86 × 6,839.86
  4. Step 4: Simplify right side
    4,676.20x = 46,783,676.27
  5. Step 5: Solve for x
    x = 46,783,676.27/4,676.20
  6. Step 6: Final answer
    x = 10,004.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.