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Finding the Third Proportional to 16,383.09 and 34,911.84

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Solution

The third proportional to 16,383.09 and 34,911.84 is: 74,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.09 : 34,911.84 = 34,911.84 : x
  2. Step 2: Convert to fraction form
    16,383.09/34,911.84 = 34,911.84/x
  3. Step 3: Cross multiply
    16,383.09x = 34,911.84 × 34,911.84
  4. Step 4: Simplify right side
    16,383.09x = 1,218,836,834.02
  5. Step 5: Solve for x
    x = 1,218,836,834.02/16,383.09
  6. Step 6: Final answer
    x = 74,396.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.