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Finding the Third Proportional to 5,439.94 and 8,139.38

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Solution

The third proportional to 5,439.94 and 8,139.38 is: 12,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.94 : 8,139.38 = 8,139.38 : x
  2. Step 2: Convert to fraction form
    5,439.94/8,139.38 = 8,139.38/x
  3. Step 3: Cross multiply
    5,439.94x = 8,139.38 × 8,139.38
  4. Step 4: Simplify right side
    5,439.94x = 66,249,425.39
  5. Step 5: Solve for x
    x = 66,249,425.39/5,439.94
  6. Step 6: Final answer
    x = 12,178.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.