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Finding the Third Proportional to 1,785.38 and 3,850.88

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Solution

The third proportional to 1,785.38 and 3,850.88 is: 8,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.38 : 3,850.88 = 3,850.88 : x
  2. Step 2: Convert to fraction form
    1,785.38/3,850.88 = 3,850.88/x
  3. Step 3: Cross multiply
    1,785.38x = 3,850.88 × 3,850.88
  4. Step 4: Simplify right side
    1,785.38x = 14,829,238.27
  5. Step 5: Solve for x
    x = 14,829,238.27/1,785.38
  6. Step 6: Final answer
    x = 8,305.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.