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Finding the Third Proportional to 39,809 and 62,135

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Solution

The third proportional to 39,809 and 62,135 is: 96,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,809 : 62,135 = 62,135 : x
  2. Step 2: Convert to fraction form
    39,809/62,135 = 62,135/x
  3. Step 3: Cross multiply
    39,809x = 62,135 × 62,135
  4. Step 4: Simplify right side
    39,809x = 3,860,758,225
  5. Step 5: Solve for x
    x = 3,860,758,225/39,809
  6. Step 6: Final answer
    x = 96,982.04

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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.