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Finding the Third Proportional to 4,863.80 and 6,845.77

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Solution

The third proportional to 4,863.80 and 6,845.77 is: 9,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.80 : 6,845.77 = 6,845.77 : x
  2. Step 2: Convert to fraction form
    4,863.80/6,845.77 = 6,845.77/x
  3. Step 3: Cross multiply
    4,863.80x = 6,845.77 × 6,845.77
  4. Step 4: Simplify right side
    4,863.80x = 46,864,506.99
  5. Step 5: Solve for x
    x = 46,864,506.99/4,863.80
  6. Step 6: Final answer
    x = 9,635.38

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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.