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Finding the Third Proportional to 10,396.69 and 13,856.91

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Solution

The third proportional to 10,396.69 and 13,856.91 is: 18,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.69 : 13,856.91 = 13,856.91 : x
  2. Step 2: Convert to fraction form
    10,396.69/13,856.91 = 13,856.91/x
  3. Step 3: Cross multiply
    10,396.69x = 13,856.91 × 13,856.91
  4. Step 4: Simplify right side
    10,396.69x = 192,013,850.82
  5. Step 5: Solve for x
    x = 192,013,850.82/10,396.69
  6. Step 6: Final answer
    x = 18,468.75

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.