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Finding the Third Proportional to 4,674.38 and 7,399.69

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Solution

The third proportional to 4,674.38 and 7,399.69 is: 11,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.38 : 7,399.69 = 7,399.69 : x
  2. Step 2: Convert to fraction form
    4,674.38/7,399.69 = 7,399.69/x
  3. Step 3: Cross multiply
    4,674.38x = 7,399.69 × 7,399.69
  4. Step 4: Simplify right side
    4,674.38x = 54,755,375.10
  5. Step 5: Solve for x
    x = 54,755,375.10/4,674.38
  6. Step 6: Final answer
    x = 11,713.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.