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Finding the Third Proportional to 6,243.88 and 9,667.38

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Solution

The third proportional to 6,243.88 and 9,667.38 is: 14,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.88 : 9,667.38 = 9,667.38 : x
  2. Step 2: Convert to fraction form
    6,243.88/9,667.38 = 9,667.38/x
  3. Step 3: Cross multiply
    6,243.88x = 9,667.38 × 9,667.38
  4. Step 4: Simplify right side
    6,243.88x = 93,458,139.39
  5. Step 5: Solve for x
    x = 93,458,139.39/6,243.88
  6. Step 6: Final answer
    x = 14,967.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.