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Finding the Third Proportional to 33,395 and 52,007

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Solution

The third proportional to 33,395 and 52,007 is: 80,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,395 : 52,007 = 52,007 : x
  2. Step 2: Convert to fraction form
    33,395/52,007 = 52,007/x
  3. Step 3: Cross multiply
    33,395x = 52,007 × 52,007
  4. Step 4: Simplify right side
    33,395x = 2,704,728,049
  5. Step 5: Solve for x
    x = 2,704,728,049/33,395
  6. Step 6: Final answer
    x = 80,992.01

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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.