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Finding the Third Proportional to 3,801.75 and 7,785.75

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Solution

The third proportional to 3,801.75 and 7,785.75 is: 15,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.75 : 7,785.75 = 7,785.75 : x
  2. Step 2: Convert to fraction form
    3,801.75/7,785.75 = 7,785.75/x
  3. Step 3: Cross multiply
    3,801.75x = 7,785.75 × 7,785.75
  4. Step 4: Simplify right side
    3,801.75x = 60,617,903.06
  5. Step 5: Solve for x
    x = 60,617,903.06/3,801.75
  6. Step 6: Final answer
    x = 15,944.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.