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Finding the Third Proportional to 4,984.50 and 7,380.38

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Solution

The third proportional to 4,984.50 and 7,380.38 is: 10,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.50 : 7,380.38 = 7,380.38 : x
  2. Step 2: Convert to fraction form
    4,984.50/7,380.38 = 7,380.38/x
  3. Step 3: Cross multiply
    4,984.50x = 7,380.38 × 7,380.38
  4. Step 4: Simplify right side
    4,984.50x = 54,469,935.14
  5. Step 5: Solve for x
    x = 54,469,935.14/4,984.50
  6. Step 6: Final answer
    x = 10,927.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.