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Finding the Third Proportional to 20,395 and 32,449

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Solution

The third proportional to 20,395 and 32,449 is: 51,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,395 : 32,449 = 32,449 : x
  2. Step 2: Convert to fraction form
    20,395/32,449 = 32,449/x
  3. Step 3: Cross multiply
    20,395x = 32,449 × 32,449
  4. Step 4: Simplify right side
    20,395x = 1,052,937,601
  5. Step 5: Solve for x
    x = 1,052,937,601/20,395
  6. Step 6: Final answer
    x = 51,627.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.