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Finding the Third Proportional to 18,823 and 39,734

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Solution

The third proportional to 18,823 and 39,734 is: 83,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823 : 39,734 = 39,734 : x
  2. Step 2: Convert to fraction form
    18,823/39,734 = 39,734/x
  3. Step 3: Cross multiply
    18,823x = 39,734 × 39,734
  4. Step 4: Simplify right side
    18,823x = 1,578,790,756
  5. Step 5: Solve for x
    x = 1,578,790,756/18,823
  6. Step 6: Final answer
    x = 83,875.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.