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Finding the Third Proportional to 2,027.53 and 3,177.98

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Solution

The third proportional to 2,027.53 and 3,177.98 is: 4,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.53 : 3,177.98 = 3,177.98 : x
  2. Step 2: Convert to fraction form
    2,027.53/3,177.98 = 3,177.98/x
  3. Step 3: Cross multiply
    2,027.53x = 3,177.98 × 3,177.98
  4. Step 4: Simplify right side
    2,027.53x = 10,099,584.69
  5. Step 5: Solve for x
    x = 10,099,584.69/2,027.53
  6. Step 6: Final answer
    x = 4,981.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.