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Finding the Third Proportional to 2,037.38 and 4,134.94

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Solution

The third proportional to 2,037.38 and 4,134.94 is: 8,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.38 : 4,134.94 = 4,134.94 : x
  2. Step 2: Convert to fraction form
    2,037.38/4,134.94 = 4,134.94/x
  3. Step 3: Cross multiply
    2,037.38x = 4,134.94 × 4,134.94
  4. Step 4: Simplify right side
    2,037.38x = 17,097,708.13
  5. Step 5: Solve for x
    x = 17,097,708.13/2,037.38
  6. Step 6: Final answer
    x = 8,392.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.