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Finding the Third Proportional to 25,083.25 and 33,455.75

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Solution

The third proportional to 25,083.25 and 33,455.75 is: 44,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083.25 : 33,455.75 = 33,455.75 : x
  2. Step 2: Convert to fraction form
    25,083.25/33,455.75 = 33,455.75/x
  3. Step 3: Cross multiply
    25,083.25x = 33,455.75 × 33,455.75
  4. Step 4: Simplify right side
    25,083.25x = 1,119,287,208.06
  5. Step 5: Solve for x
    x = 1,119,287,208.06/25,083.25
  6. Step 6: Final answer
    x = 44,622.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.