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Finding the Third Proportional to 25,576 and 55,936

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Solution

The third proportional to 25,576 and 55,936 is: 122,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,576 : 55,936 = 55,936 : x
  2. Step 2: Convert to fraction form
    25,576/55,936 = 55,936/x
  3. Step 3: Cross multiply
    25,576x = 55,936 × 55,936
  4. Step 4: Simplify right side
    25,576x = 3,128,836,096
  5. Step 5: Solve for x
    x = 3,128,836,096/25,576
  6. Step 6: Final answer
    x = 122,334.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.