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Finding the Third Proportional to 33,551 and 68,559

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Solution

The third proportional to 33,551 and 68,559 is: 140,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,551 : 68,559 = 68,559 : x
  2. Step 2: Convert to fraction form
    33,551/68,559 = 68,559/x
  3. Step 3: Cross multiply
    33,551x = 68,559 × 68,559
  4. Step 4: Simplify right side
    33,551x = 4,700,336,481
  5. Step 5: Solve for x
    x = 4,700,336,481/33,551
  6. Step 6: Final answer
    x = 140,095.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.