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Finding the Third Proportional to 18,354 and 39,834

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Solution

The third proportional to 18,354 and 39,834 is: 86,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,354 : 39,834 = 39,834 : x
  2. Step 2: Convert to fraction form
    18,354/39,834 = 39,834/x
  3. Step 3: Cross multiply
    18,354x = 39,834 × 39,834
  4. Step 4: Simplify right side
    18,354x = 1,586,747,556
  5. Step 5: Solve for x
    x = 1,586,747,556/18,354
  6. Step 6: Final answer
    x = 86,452.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.