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Finding the Third Proportional to 6,175.97 and 13,581.98

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Solution

The third proportional to 6,175.97 and 13,581.98 is: 29,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.97 : 13,581.98 = 13,581.98 : x
  2. Step 2: Convert to fraction form
    6,175.97/13,581.98 = 13,581.98/x
  3. Step 3: Cross multiply
    6,175.97x = 13,581.98 × 13,581.98
  4. Step 4: Simplify right side
    6,175.97x = 184,470,299.56
  5. Step 5: Solve for x
    x = 184,470,299.56/6,175.97
  6. Step 6: Final answer
    x = 29,869.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.