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Finding the Third Proportional to 850.13 and 2,037.38

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Solution

The third proportional to 850.13 and 2,037.38 is: 4,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.13 : 2,037.38 = 2,037.38 : x
  2. Step 2: Convert to fraction form
    850.13/2,037.38 = 2,037.38/x
  3. Step 3: Cross multiply
    850.13x = 2,037.38 × 2,037.38
  4. Step 4: Simplify right side
    850.13x = 4,150,896.89
  5. Step 5: Solve for x
    x = 4,150,896.89/850.13
  6. Step 6: Final answer
    x = 4,882.69

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.