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Finding the Third Proportional to 18,586 and 39,692

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Solution

The third proportional to 18,586 and 39,692 is: 84,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586 : 39,692 = 39,692 : x
  2. Step 2: Convert to fraction form
    18,586/39,692 = 39,692/x
  3. Step 3: Cross multiply
    18,586x = 39,692 × 39,692
  4. Step 4: Simplify right side
    18,586x = 1,575,454,864
  5. Step 5: Solve for x
    x = 1,575,454,864/18,586
  6. Step 6: Final answer
    x = 84,765.68

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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.