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Finding the Third Proportional to 33,057 and 44,968.50

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Solution

The third proportional to 33,057 and 44,968.50 is: 61,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057 : 44,968.50 = 44,968.50 : x
  2. Step 2: Convert to fraction form
    33,057/44,968.50 = 44,968.50/x
  3. Step 3: Cross multiply
    33,057x = 44,968.50 × 44,968.50
  4. Step 4: Simplify right side
    33,057x = 2,022,165,992.25
  5. Step 5: Solve for x
    x = 2,022,165,992.25/33,057
  6. Step 6: Final answer
    x = 61,172.10

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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.