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Finding the Third Proportional to 3,800.67 and 4,288.57

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Solution

The third proportional to 3,800.67 and 4,288.57 is: 4,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.67 : 4,288.57 = 4,288.57 : x
  2. Step 2: Convert to fraction form
    3,800.67/4,288.57 = 4,288.57/x
  3. Step 3: Cross multiply
    3,800.67x = 4,288.57 × 4,288.57
  4. Step 4: Simplify right side
    3,800.67x = 18,391,835.33
  5. Step 5: Solve for x
    x = 18,391,835.33/3,800.67
  6. Step 6: Final answer
    x = 4,839.10

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.