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Finding the Third Proportional to 5,168.81 and 11,196.98

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Solution

The third proportional to 5,168.81 and 11,196.98 is: 24,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.81 : 11,196.98 = 11,196.98 : x
  2. Step 2: Convert to fraction form
    5,168.81/11,196.98 = 11,196.98/x
  3. Step 3: Cross multiply
    5,168.81x = 11,196.98 × 11,196.98
  4. Step 4: Simplify right side
    5,168.81x = 125,372,459.09
  5. Step 5: Solve for x
    x = 125,372,459.09/5,168.81
  6. Step 6: Final answer
    x = 24,255.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.