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Finding the Third Proportional to 33,327 and 68,538

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Solution

The third proportional to 33,327 and 68,538 is: 140,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,327 : 68,538 = 68,538 : x
  2. Step 2: Convert to fraction form
    33,327/68,538 = 68,538/x
  3. Step 3: Cross multiply
    33,327x = 68,538 × 68,538
  4. Step 4: Simplify right side
    33,327x = 4,697,457,444
  5. Step 5: Solve for x
    x = 4,697,457,444/33,327
  6. Step 6: Final answer
    x = 140,950.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.