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Finding the Third Proportional to 4,839.19 and 6,814.41

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Solution

The third proportional to 4,839.19 and 6,814.41 is: 9,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.19 : 6,814.41 = 6,814.41 : x
  2. Step 2: Convert to fraction form
    4,839.19/6,814.41 = 6,814.41/x
  3. Step 3: Cross multiply
    4,839.19x = 6,814.41 × 6,814.41
  4. Step 4: Simplify right side
    4,839.19x = 46,436,132.54
  5. Step 5: Solve for x
    x = 46,436,132.54/4,839.19
  6. Step 6: Final answer
    x = 9,595.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.