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Finding the Third Proportional to 32,667 and 46,002.75

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Solution

The third proportional to 32,667 and 46,002.75 is: 64,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667 : 46,002.75 = 46,002.75 : x
  2. Step 2: Convert to fraction form
    32,667/46,002.75 = 46,002.75/x
  3. Step 3: Cross multiply
    32,667x = 46,002.75 × 46,002.75
  4. Step 4: Simplify right side
    32,667x = 2,116,253,007.56
  5. Step 5: Solve for x
    x = 2,116,253,007.56/32,667
  6. Step 6: Final answer
    x = 64,782.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.