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Finding the Third Proportional to 13,667.72 and 22,318.31

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Solution

The third proportional to 13,667.72 and 22,318.31 is: 36,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.72 : 22,318.31 = 22,318.31 : x
  2. Step 2: Convert to fraction form
    13,667.72/22,318.31 = 22,318.31/x
  3. Step 3: Cross multiply
    13,667.72x = 22,318.31 × 22,318.31
  4. Step 4: Simplify right side
    13,667.72x = 498,107,072.85
  5. Step 5: Solve for x
    x = 498,107,072.85/13,667.72
  6. Step 6: Final answer
    x = 36,444.05

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.