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Finding the Third Proportional to 23,901.75 and 36,947.25

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Solution

The third proportional to 23,901.75 and 36,947.25 is: 57,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.75 : 36,947.25 = 36,947.25 : x
  2. Step 2: Convert to fraction form
    23,901.75/36,947.25 = 36,947.25/x
  3. Step 3: Cross multiply
    23,901.75x = 36,947.25 × 36,947.25
  4. Step 4: Simplify right side
    23,901.75x = 1,365,099,282.56
  5. Step 5: Solve for x
    x = 1,365,099,282.56/23,901.75
  6. Step 6: Final answer
    x = 57,112.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.