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Finding the Third Proportional to 33,005.50 and 43,995.50

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Solution

The third proportional to 33,005.50 and 43,995.50 is: 58,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.50 : 43,995.50 = 43,995.50 : x
  2. Step 2: Convert to fraction form
    33,005.50/43,995.50 = 43,995.50/x
  3. Step 3: Cross multiply
    33,005.50x = 43,995.50 × 43,995.50
  4. Step 4: Simplify right side
    33,005.50x = 1,935,604,020.25
  5. Step 5: Solve for x
    x = 1,935,604,020.25/33,005.50
  6. Step 6: Final answer
    x = 58,644.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.