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Finding the Third Proportional to 12,667.97 and 29,327.25

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Solution

The third proportional to 12,667.97 and 29,327.25 is: 67,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.97 : 29,327.25 = 29,327.25 : x
  2. Step 2: Convert to fraction form
    12,667.97/29,327.25 = 29,327.25/x
  3. Step 3: Cross multiply
    12,667.97x = 29,327.25 × 29,327.25
  4. Step 4: Simplify right side
    12,667.97x = 860,087,592.56
  5. Step 5: Solve for x
    x = 860,087,592.56/12,667.97
  6. Step 6: Final answer
    x = 67,894.67

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.