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Finding the Third Proportional to 27,851.28 and 57,997.44

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Solution

The third proportional to 27,851.28 and 57,997.44 is: 120,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.28 : 57,997.44 = 57,997.44 : x
  2. Step 2: Convert to fraction form
    27,851.28/57,997.44 = 57,997.44/x
  3. Step 3: Cross multiply
    27,851.28x = 57,997.44 × 57,997.44
  4. Step 4: Simplify right side
    27,851.28x = 3,363,702,756.57
  5. Step 5: Solve for x
    x = 3,363,702,756.57/27,851.28
  6. Step 6: Final answer
    x = 120,773.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.