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Finding the Third Proportional to 33,027 and 51,768

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Solution

The third proportional to 33,027 and 51,768 is: 81,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027 : 51,768 = 51,768 : x
  2. Step 2: Convert to fraction form
    33,027/51,768 = 51,768/x
  3. Step 3: Cross multiply
    33,027x = 51,768 × 51,768
  4. Step 4: Simplify right side
    33,027x = 2,679,925,824
  5. Step 5: Solve for x
    x = 2,679,925,824/33,027
  6. Step 6: Final answer
    x = 81,143.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.