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Finding the Third Proportional to 32,923.97 and 69,949.83

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Solution

The third proportional to 32,923.97 and 69,949.83 is: 148,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923.97 : 69,949.83 = 69,949.83 : x
  2. Step 2: Convert to fraction form
    32,923.97/69,949.83 = 69,949.83/x
  3. Step 3: Cross multiply
    32,923.97x = 69,949.83 × 69,949.83
  4. Step 4: Simplify right side
    32,923.97x = 4,892,978,454.72
  5. Step 5: Solve for x
    x = 4,892,978,454.72/32,923.97
  6. Step 6: Final answer
    x = 148,614.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.