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Finding the Third Proportional to 32,809 and 49,601

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Solution

The third proportional to 32,809 and 49,601 is: 74,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809 : 49,601 = 49,601 : x
  2. Step 2: Convert to fraction form
    32,809/49,601 = 49,601/x
  3. Step 3: Cross multiply
    32,809x = 49,601 × 49,601
  4. Step 4: Simplify right side
    32,809x = 2,460,259,201
  5. Step 5: Solve for x
    x = 2,460,259,201/32,809
  6. Step 6: Final answer
    x = 74,987.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.