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Finding the Third Proportional to 6,667.79 and 14,369.27

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Solution

The third proportional to 6,667.79 and 14,369.27 is: 30,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.79 : 14,369.27 = 14,369.27 : x
  2. Step 2: Convert to fraction form
    6,667.79/14,369.27 = 14,369.27/x
  3. Step 3: Cross multiply
    6,667.79x = 14,369.27 × 14,369.27
  4. Step 4: Simplify right side
    6,667.79x = 206,476,019.12
  5. Step 5: Solve for x
    x = 206,476,019.12/6,667.79
  6. Step 6: Final answer
    x = 30,966.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.