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Finding the Third Proportional to 23,372 and 33,595

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Solution

The third proportional to 23,372 and 33,595 is: 48,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,372 : 33,595 = 33,595 : x
  2. Step 2: Convert to fraction form
    23,372/33,595 = 33,595/x
  3. Step 3: Cross multiply
    23,372x = 33,595 × 33,595
  4. Step 4: Simplify right side
    23,372x = 1,128,624,025
  5. Step 5: Solve for x
    x = 1,128,624,025/23,372
  6. Step 6: Final answer
    x = 48,289.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.