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Finding the Third Proportional to 33,028 and 68,791

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Solution

The third proportional to 33,028 and 68,791 is: 143,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028 : 68,791 = 68,791 : x
  2. Step 2: Convert to fraction form
    33,028/68,791 = 68,791/x
  3. Step 3: Cross multiply
    33,028x = 68,791 × 68,791
  4. Step 4: Simplify right side
    33,028x = 4,732,201,681
  5. Step 5: Solve for x
    x = 4,732,201,681/33,028
  6. Step 6: Final answer
    x = 143,278.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.