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Finding the Third Proportional to 23,208.25 and 33,834.38

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Solution

The third proportional to 23,208.25 and 33,834.38 is: 49,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.25 : 33,834.38 = 33,834.38 : x
  2. Step 2: Convert to fraction form
    23,208.25/33,834.38 = 33,834.38/x
  3. Step 3: Cross multiply
    23,208.25x = 33,834.38 × 33,834.38
  4. Step 4: Simplify right side
    23,208.25x = 1,144,764,931.64
  5. Step 5: Solve for x
    x = 1,144,764,931.64/23,208.25
  6. Step 6: Final answer
    x = 49,325.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.