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Finding the Third Proportional to 27,977.25 and 57,246.75

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Solution

The third proportional to 27,977.25 and 57,246.75 is: 117,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.25 : 57,246.75 = 57,246.75 : x
  2. Step 2: Convert to fraction form
    27,977.25/57,246.75 = 57,246.75/x
  3. Step 3: Cross multiply
    27,977.25x = 57,246.75 × 57,246.75
  4. Step 4: Simplify right side
    27,977.25x = 3,277,190,385.56
  5. Step 5: Solve for x
    x = 3,277,190,385.56/27,977.25
  6. Step 6: Final answer
    x = 117,137.69

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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.