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Finding the Third Proportional to 33,683 and 52,685

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Solution

The third proportional to 33,683 and 52,685 is: 82,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,683 : 52,685 = 52,685 : x
  2. Step 2: Convert to fraction form
    33,683/52,685 = 52,685/x
  3. Step 3: Cross multiply
    33,683x = 52,685 × 52,685
  4. Step 4: Simplify right side
    33,683x = 2,775,709,225
  5. Step 5: Solve for x
    x = 2,775,709,225/33,683
  6. Step 6: Final answer
    x = 82,406.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.