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Finding the Third Proportional to 25,812 and 54,724.50

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Solution

The third proportional to 25,812 and 54,724.50 is: 116,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812 : 54,724.50 = 54,724.50 : x
  2. Step 2: Convert to fraction form
    25,812/54,724.50 = 54,724.50/x
  3. Step 3: Cross multiply
    25,812x = 54,724.50 × 54,724.50
  4. Step 4: Simplify right side
    25,812x = 2,994,770,900.25
  5. Step 5: Solve for x
    x = 2,994,770,900.25/25,812
  6. Step 6: Final answer
    x = 116,022.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.