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Finding the Third Proportional to 4,640.06 and 10,942.88

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Solution

The third proportional to 4,640.06 and 10,942.88 is: 25,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.06 : 10,942.88 = 10,942.88 : x
  2. Step 2: Convert to fraction form
    4,640.06/10,942.88 = 10,942.88/x
  3. Step 3: Cross multiply
    4,640.06x = 10,942.88 × 10,942.88
  4. Step 4: Simplify right side
    4,640.06x = 119,746,513.27
  5. Step 5: Solve for x
    x = 119,746,513.27/4,640.06
  6. Step 6: Final answer
    x = 25,807.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.