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Finding the Third Proportional to 23,103.94 and 34,964.06

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Solution

The third proportional to 23,103.94 and 34,964.06 is: 52,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.94 : 34,964.06 = 34,964.06 : x
  2. Step 2: Convert to fraction form
    23,103.94/34,964.06 = 34,964.06/x
  3. Step 3: Cross multiply
    23,103.94x = 34,964.06 × 34,964.06
  4. Step 4: Simplify right side
    23,103.94x = 1,222,485,666.50
  5. Step 5: Solve for x
    x = 1,222,485,666.50/23,103.94
  6. Step 6: Final answer
    x = 52,912.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.