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Finding the Third Proportional to 18,446 and 39,523

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Solution

The third proportional to 18,446 and 39,523 is: 84,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,446 : 39,523 = 39,523 : x
  2. Step 2: Convert to fraction form
    18,446/39,523 = 39,523/x
  3. Step 3: Cross multiply
    18,446x = 39,523 × 39,523
  4. Step 4: Simplify right side
    18,446x = 1,562,067,529
  5. Step 5: Solve for x
    x = 1,562,067,529/18,446
  6. Step 6: Final answer
    x = 84,683.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.