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Finding the Third Proportional to 33,057 and 44,967

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Solution

The third proportional to 33,057 and 44,967 is: 61,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057 : 44,967 = 44,967 : x
  2. Step 2: Convert to fraction form
    33,057/44,967 = 44,967/x
  3. Step 3: Cross multiply
    33,057x = 44,967 × 44,967
  4. Step 4: Simplify right side
    33,057x = 2,022,031,089
  5. Step 5: Solve for x
    x = 2,022,031,089/33,057
  6. Step 6: Final answer
    x = 61,168.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.