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Finding the Third Proportional to 26,002 and 55,893.88

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Solution

The third proportional to 26,002 and 55,893.88 is: 120,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002 : 55,893.88 = 55,893.88 : x
  2. Step 2: Convert to fraction form
    26,002/55,893.88 = 55,893.88/x
  3. Step 3: Cross multiply
    26,002x = 55,893.88 × 55,893.88
  4. Step 4: Simplify right side
    26,002x = 3,124,125,262.52
  5. Step 5: Solve for x
    x = 3,124,125,262.52/26,002
  6. Step 6: Final answer
    x = 120,149.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.