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Finding the Third Proportional to 25,576 and 55,801

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Solution

The third proportional to 25,576 and 55,801 is: 121,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,576 : 55,801 = 55,801 : x
  2. Step 2: Convert to fraction form
    25,576/55,801 = 55,801/x
  3. Step 3: Cross multiply
    25,576x = 55,801 × 55,801
  4. Step 4: Simplify right side
    25,576x = 3,113,751,601
  5. Step 5: Solve for x
    x = 3,113,751,601/25,576
  6. Step 6: Final answer
    x = 121,745.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.