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Finding the Third Proportional to 2,027.53 and 5,139.07

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Solution

The third proportional to 2,027.53 and 5,139.07 is: 13,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.53 : 5,139.07 = 5,139.07 : x
  2. Step 2: Convert to fraction form
    2,027.53/5,139.07 = 5,139.07/x
  3. Step 3: Cross multiply
    2,027.53x = 5,139.07 × 5,139.07
  4. Step 4: Simplify right side
    2,027.53x = 26,410,043.68
  5. Step 5: Solve for x
    x = 26,410,043.68/2,027.53
  6. Step 6: Final answer
    x = 13,025.71

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.