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Finding the Third Proportional to 38,968 and 55,140

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Solution

The third proportional to 38,968 and 55,140 is: 78,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,968 : 55,140 = 55,140 : x
  2. Step 2: Convert to fraction form
    38,968/55,140 = 55,140/x
  3. Step 3: Cross multiply
    38,968x = 55,140 × 55,140
  4. Step 4: Simplify right side
    38,968x = 3,040,419,600
  5. Step 5: Solve for x
    x = 3,040,419,600/38,968
  6. Step 6: Final answer
    x = 78,023.50

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.