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Finding the Third Proportional to 33,064.50 and 50,288.69

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Solution

The third proportional to 33,064.50 and 50,288.69 is: 76,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064.50 : 50,288.69 = 50,288.69 : x
  2. Step 2: Convert to fraction form
    33,064.50/50,288.69 = 50,288.69/x
  3. Step 3: Cross multiply
    33,064.50x = 50,288.69 × 50,288.69
  4. Step 4: Simplify right side
    33,064.50x = 2,528,952,090.47
  5. Step 5: Solve for x
    x = 2,528,952,090.47/33,064.50
  6. Step 6: Final answer
    x = 76,485.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.