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Finding the Third Proportional to 24,589.75 and 36,908.75

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Solution

The third proportional to 24,589.75 and 36,908.75 is: 55,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.75 : 36,908.75 = 36,908.75 : x
  2. Step 2: Convert to fraction form
    24,589.75/36,908.75 = 36,908.75/x
  3. Step 3: Cross multiply
    24,589.75x = 36,908.75 × 36,908.75
  4. Step 4: Simplify right side
    24,589.75x = 1,362,255,826.56
  5. Step 5: Solve for x
    x = 1,362,255,826.56/24,589.75
  6. Step 6: Final answer
    x = 55,399.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.