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Finding the Third Proportional to 25,028 and 53,936

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Solution

The third proportional to 25,028 and 53,936 is: 116,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,028 : 53,936 = 53,936 : x
  2. Step 2: Convert to fraction form
    25,028/53,936 = 53,936/x
  3. Step 3: Cross multiply
    25,028x = 53,936 × 53,936
  4. Step 4: Simplify right side
    25,028x = 2,909,092,096
  5. Step 5: Solve for x
    x = 2,909,092,096/25,028
  6. Step 6: Final answer
    x = 116,233.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.