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Finding the Third Proportional to 25,933.50 and 54,634.50

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Solution

The third proportional to 25,933.50 and 54,634.50 is: 115,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,933.50 : 54,634.50 = 54,634.50 : x
  2. Step 2: Convert to fraction form
    25,933.50/54,634.50 = 54,634.50/x
  3. Step 3: Cross multiply
    25,933.50x = 54,634.50 × 54,634.50
  4. Step 4: Simplify right side
    25,933.50x = 2,984,928,590.25
  5. Step 5: Solve for x
    x = 2,984,928,590.25/25,933.50
  6. Step 6: Final answer
    x = 115,099.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.