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Finding the Third Proportional to 13,667.91 and 17,464.78

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Solution

The third proportional to 13,667.91 and 17,464.78 is: 22,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.91 : 17,464.78 = 17,464.78 : x
  2. Step 2: Convert to fraction form
    13,667.91/17,464.78 = 17,464.78/x
  3. Step 3: Cross multiply
    13,667.91x = 17,464.78 × 17,464.78
  4. Step 4: Simplify right side
    13,667.91x = 305,018,584.11
  5. Step 5: Solve for x
    x = 305,018,584.11/13,667.91
  6. Step 6: Final answer
    x = 22,316.41

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.