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Finding the Third Proportional to 33,557.38 and 46,939.94

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Solution

The third proportional to 33,557.38 and 46,939.94 is: 65,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,557.38 : 46,939.94 = 46,939.94 : x
  2. Step 2: Convert to fraction form
    33,557.38/46,939.94 = 46,939.94/x
  3. Step 3: Cross multiply
    33,557.38x = 46,939.94 × 46,939.94
  4. Step 4: Simplify right side
    33,557.38x = 2,203,357,732.50
  5. Step 5: Solve for x
    x = 2,203,357,732.50/33,557.38
  6. Step 6: Final answer
    x = 65,659.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.