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Finding the Third Proportional to 11,993.06 and 18,776.81

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Solution

The third proportional to 11,993.06 and 18,776.81 is: 29,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.06 : 18,776.81 = 18,776.81 : x
  2. Step 2: Convert to fraction form
    11,993.06/18,776.81 = 18,776.81/x
  3. Step 3: Cross multiply
    11,993.06x = 18,776.81 × 18,776.81
  4. Step 4: Simplify right side
    11,993.06x = 352,568,687.66
  5. Step 5: Solve for x
    x = 352,568,687.66/11,993.06
  6. Step 6: Final answer
    x = 29,397.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.