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Finding the Third Proportional to 25,800 and 33,768

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Solution

The third proportional to 25,800 and 33,768 is: 44,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800 : 33,768 = 33,768 : x
  2. Step 2: Convert to fraction form
    25,800/33,768 = 33,768/x
  3. Step 3: Cross multiply
    25,800x = 33,768 × 33,768
  4. Step 4: Simplify right side
    25,800x = 1,140,277,824
  5. Step 5: Solve for x
    x = 1,140,277,824/25,800
  6. Step 6: Final answer
    x = 44,196.81

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.