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Finding the Third Proportional to 25,028 and 55,096

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Solution

The third proportional to 25,028 and 55,096 is: 121,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,028 : 55,096 = 55,096 : x
  2. Step 2: Convert to fraction form
    25,028/55,096 = 55,096/x
  3. Step 3: Cross multiply
    25,028x = 55,096 × 55,096
  4. Step 4: Simplify right side
    25,028x = 3,035,569,216
  5. Step 5: Solve for x
    x = 3,035,569,216/25,028
  6. Step 6: Final answer
    x = 121,286.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.