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Finding the Third Proportional to 32,233 and 49,809

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Solution

The third proportional to 32,233 and 49,809 is: 76,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233 : 49,809 = 49,809 : x
  2. Step 2: Convert to fraction form
    32,233/49,809 = 49,809/x
  3. Step 3: Cross multiply
    32,233x = 49,809 × 49,809
  4. Step 4: Simplify right side
    32,233x = 2,480,936,481
  5. Step 5: Solve for x
    x = 2,480,936,481/32,233
  6. Step 6: Final answer
    x = 76,968.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.