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Finding the Third Proportional to 11,944.13 and 18,667.13

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Solution

The third proportional to 11,944.13 and 18,667.13 is: 29,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.13 : 18,667.13 = 18,667.13 : x
  2. Step 2: Convert to fraction form
    11,944.13/18,667.13 = 18,667.13/x
  3. Step 3: Cross multiply
    11,944.13x = 18,667.13 × 18,667.13
  4. Step 4: Simplify right side
    11,944.13x = 348,461,555.77
  5. Step 5: Solve for x
    x = 348,461,555.77/11,944.13
  6. Step 6: Final answer
    x = 29,174.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.