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Finding the Third Proportional to 38,976 and 60,745.50

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Solution

The third proportional to 38,976 and 60,745.50 is: 94,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,976 : 60,745.50 = 60,745.50 : x
  2. Step 2: Convert to fraction form
    38,976/60,745.50 = 60,745.50/x
  3. Step 3: Cross multiply
    38,976x = 60,745.50 × 60,745.50
  4. Step 4: Simplify right side
    38,976x = 3,690,015,770.25
  5. Step 5: Solve for x
    x = 3,690,015,770.25/38,976
  6. Step 6: Final answer
    x = 94,674.05

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.